Greatest Common Factor of 736/976, 3664/9384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 736/976, 3664/9384

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 736/976,3664/9384

Given fractions are 736/976,3664/9384

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 736,3664

Greatest Common Factor of Numerators i.e. GCF of 736,3664 is 16 .

LCM of Denominators means LCM of 976,9384 as per the given fractions.

LCM of 976,9384 is 1144848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 736,3664

GCF of Fractions 736/976,3664/9384 is 16/1144848

2 736, 3664
2 368, 1832
2 184, 916
2 92, 458
46, 229

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 736,3664 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,3664 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 3664

List of positive integer factors of 3664 that divides 3664 without a remainder.

1,2,4,8,16,229,458,916,1832,3664

Greatest Common Factor

We found the factors 736,3664 . The biggest common factor number is the GCF number.
So the greatest common factor 736,3664 is 16.

Lets's calculate LCM of 976,9384

2 976, 9384
2 488, 4692
2 244, 2346
122, 1173

∴ So the LCM of the given numbers is 2 x 2 x 2 x 122 x 1173 = 1144848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1144848

Therefore, the GCF of Fractions 736/976,3664/9384 is 16/1144848

Least Common Multiple of 976,9384 with GCF Formula

Least Common Multiple of 976,9384 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 976,9384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,9384) = 8

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

GCF(976,9384) x common factors =8 x 1 = 8

LCM(976,9384) = ( 976 × 9384 ) / 8

LCM(976,9384) = 9158784 / 8

LCM(976,9384) = 1144848


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 736/976, 3664/9384

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 736/976, 3664/9384?

Answer: GCF of Numerators as per given numbers 736/976, 3664/9384 is

GCF of Numerators i.e. for 736,3664 is 16

LCM of denominators i.e. for 976,9384 is 1144848.

Thus, GCF of Fractions is 16/1144848.Finally, GCF of Fractions for 736/976, 3664/9384 is 16/1144848.