Greatest Common Factor of 732/854, 4960/9340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 732/854, 4960/9340

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 732/854,4960/9340

Given fractions are 732/854,4960/9340

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 732,4960

Greatest Common Factor of Numerators i.e. GCF of 732,4960 is 4 .

LCM of Denominators means LCM of 854,9340 as per the given fractions.

LCM of 854,9340 is 3988180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 732,4960

GCF of Fractions 732/854,4960/9340 is 4/3988180

2 732, 4960
2 366, 2480
183, 1240

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 732,4960 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,4960 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 4960

List of positive integer factors of 4960 that divides 4960 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960

Greatest Common Factor

We found the factors 732,4960 . The biggest common factor number is the GCF number.
So the greatest common factor 732,4960 is 4.

Lets's calculate LCM of 854,9340

2 854, 9340
427, 4670

∴ So the LCM of the given numbers is 2 x 427 x 4670 = 3988180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3988180

Therefore, the GCF of Fractions 732/854,4960/9340 is 4/3988180

Least Common Multiple of 854,9340 with GCF Formula

Least Common Multiple of 854,9340 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 854,9340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,9340) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(854,9340) x common factors =2 x 1 = 2

LCM(854,9340) = ( 854 × 9340 ) / 2

LCM(854,9340) = 7976360 / 2

LCM(854,9340) = 3988180


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 732/854, 4960/9340

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 732/854, 4960/9340?

Answer: GCF of Numerators as per given numbers 732/854, 4960/9340 is

GCF of Numerators i.e. for 732,4960 is 4

LCM of denominators i.e. for 854,9340 is 3988180.

Thus, GCF of Fractions is 4/3988180.Finally, GCF of Fractions for 732/854, 4960/9340 is 4/3988180.