Greatest Common Factor of 63/40, 37/99, 10/64, 614/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/40, 37/99, 10/64, 614/70

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 63/40,37/99,10/64,614/70

Given fractions are 63/40,37/99,10/64,614/70

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 63,37,10,614

Greatest Common Factor of Numerators i.e. GCF of 63,37,10,614 is 1 .

LCM of Denominators means LCM of 40,99,64,70 as per the given fractions.

LCM of 40,99,64,70 is 221760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,37,10,614

GCF of Fractions 63/40,37/99,10/64,614/70 is 1/221760

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

Greatest Common Factor of 63,37,10,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,37,10,614 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 63,37,10,614 . The biggest common factor number is the GCF number.
So the greatest common factor 63,37,10,614 is 1.

Lets's calculate LCM of 40,99,64,70

2 40, 99, 64, 70
2 20, 99, 32, 35
2 10, 99, 16, 35
5 5, 99, 8, 35
1, 99, 8, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 99 x 8 x 7 = 221760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221760

Therefore, the GCF of Fractions 63/40,37/99,10/64,614/70 is 1/221760

Least Common Multiple of 40,99,64,70 with GCF Formula

Least Common Multiple of 40,99,64,70 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 40,99,64,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,99,64,70) = 1

common factors(in case of two or more numbers have common factors) = 80

GCF(40,99,64,70) x common factors =1 x 80 = 80

LCM(40,99,64,70) = ( 40 × 99 × 64 × 70 ) / 80

LCM(40,99,64,70) = 17740800 / 80

LCM(40,99,64,70) = 221760


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 63/40, 37/99, 10/64, 614/70

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 63/40, 37/99, 10/64, 614/70?

Answer: GCF of Numerators as per given numbers 63/40, 37/99, 10/64, 614/70 is

GCF of Numerators i.e. for 63,37,10,614 is 1

LCM of denominators i.e. for 40,99,64,70 is 221760.

Thus, GCF of Fractions is 1/221760.Finally, GCF of Fractions for 63/40, 37/99, 10/64, 614/70 is 1/221760.