Greatest Common Factor of 35/21, 74/77, 45/23, 49/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/21, 74/77, 45/23, 49/588

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 35/21,74/77,45/23,49/588

Given fractions are 35/21,74/77,45/23,49/588

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 35,74,45,49

Greatest Common Factor of Numerators i.e. GCF of 35,74,45,49 is 1 .

LCM of Denominators means LCM of 21,77,23,588 as per the given fractions.

LCM of 21,77,23,588 is 148764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,74,45,49

GCF of Fractions 35/21,74/77,45/23,49/588 is 1/148764

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 35,74,45,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,74,45,49 By Matching Biggest Common Factor Method

Factors of 35

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

1,5,7,35

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 49

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

1,7,49

Greatest Common Factor

We found the factors 35,74,45,49 . The biggest common factor number is the GCF number.
So the greatest common factor 35,74,45,49 is 1.

Lets's calculate LCM of 21,77,23,588

3 21, 77, 23, 588
7 7, 77, 23, 196
1, 11, 23, 28

∴ So the LCM of the given numbers is 3 x 7 x 1 x 11 x 23 x 28 = 148764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148764

Therefore, the GCF of Fractions 35/21,74/77,45/23,49/588 is 1/148764

Least Common Multiple of 21,77,23,588 with GCF Formula

Least Common Multiple of 21,77,23,588 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 21,77,23,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,77,23,588) = 1

common factors(in case of two or more numbers have common factors) = 147

GCF(21,77,23,588) x common factors =1 x 147 = 147

LCM(21,77,23,588) = ( 21 × 77 × 23 × 588 ) / 147

LCM(21,77,23,588) = 21868308 / 147

LCM(21,77,23,588) = 148764


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 35/21, 74/77, 45/23, 49/588

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 35/21, 74/77, 45/23, 49/588?

Answer: GCF of Numerators as per given numbers 35/21, 74/77, 45/23, 49/588 is

GCF of Numerators i.e. for 35,74,45,49 is 1

LCM of denominators i.e. for 21,77,23,588 is 148764.

Thus, GCF of Fractions is 1/148764.Finally, GCF of Fractions for 35/21, 74/77, 45/23, 49/588 is 1/148764.