Greatest Common Factor of 63/1, 28/1, 35/1, 21/1, 147/4, 77/2, 63/2, 315/2, 49/2, 35/2

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/1, 28/1, 35/1, 21/1, 147/4, 77/2, 63/2, 315/2, 49/2, 35/2

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 63/1,28/1,35/1,21/1,147/4,77/2,63/2,315/2,49/2,35/2

Given fractions are 63/1,28/1,35/1,21/1,147/4,77/2,63/2,315/2,49/2,35/2

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 63,28,35,21,147,77,63,315,49,35

Greatest Common Factor of Numerators i.e. GCF of 63,28,35,21,147,77,63,315,49,35 is 7 .

LCM of Denominators means LCM of 1,1,1,1,4,2,2,2,2,2 as per the given fractions.

LCM of 1,1,1,1,4,2,2,2,2,2 is 4 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,28,35,21,147,77,63,315,49,35

GCF of Fractions 63/1,28/1,35/1,21/1,147/4,77/2,63/2,315/2,49/2,35/2 is 7/4

7 63, 28, 35, 21, 147, 77, 63, 315, 49, 35
9, 4, 5, 3, 21, 11, 9, 45, 7, 5

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 63,28,35,21,147,77,63,315,49,35 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,28,35,21,147,77,63,315,49,35 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Greatest Common Factor

We found the factors 63,28,35,21,147,77,63,315,49,35 . The biggest common factor number is the GCF number.
So the greatest common factor 63,28,35,21,147,77,63,315,49,35 is 7.

Lets's calculate LCM of 1,1,1,1,4,2,2,2,2,2

2 1, 1, 1, 1, 4, 2, 2, 2, 2, 2
1, 1, 1, 1, 2, 1, 1, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 1 x 1 x 1 x 1 x 2 x 1 x 1 x 1 x 1 x 1 = 4

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4

Therefore, the GCF of Fractions 63/1,28/1,35/1,21/1,147/4,77/2,63/2,315/2,49/2,35/2 is 7/4

Least Common Multiple of 1,1,1,1,4,2,2,2,2,2 with GCF Formula

Least Common Multiple of 1,1,1,1,4,2,2,2,2,2 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1,1,1,1,4,2,2,2,2,2 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,1,1,1,4,2,2,2,2,2) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(1,1,1,1,4,2,2,2,2,2) x common factors =1 x 32 = 32

LCM(1,1,1,1,4,2,2,2,2,2) = ( 1 × 1 × 1 × 1 × 4 × 2 × 2 × 2 × 2 × 2 ) / 32

LCM(1,1,1,1,4,2,2,2,2,2) = 128 / 32

LCM(1,1,1,1,4,2,2,2,2,2) = 4


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 63/1, 28/1, 35/1, 21/1, 147/4, 77/2, 63/2, 315/2, 49/2, 35/2

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 63/1, 28/1, 35/1, 21/1, 147/4, 77/2, 63/2, 315/2, 49/2, 35/2?

Answer: GCF of Numerators as per given numbers 63/1, 28/1, 35/1, 21/1, 147/4, 77/2, 63/2, 315/2, 49/2, 35/2 is

GCF of Numerators i.e. for 63,28,35,21,147,77,63,315,49,35 is 7

LCM of denominators i.e. for 1,1,1,1,4,2,2,2,2,2 is 4.

Thus, GCF of Fractions is 7/4.Finally, GCF of Fractions for 63/1, 28/1, 35/1, 21/1, 147/4, 77/2, 63/2, 315/2, 49/2, 35/2 is 7/4.