Greatest Common Factor of 4912/380, 8008/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4912/380, 8008/613

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 4912/380,8008/613

Given fractions are 4912/380,8008/613

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 4912,8008

Greatest Common Factor of Numerators i.e. GCF of 4912,8008 is 8 .

LCM of Denominators means LCM of 380,613 as per the given fractions.

LCM of 380,613 is 232940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4912,8008

GCF of Fractions 4912/380,8008/613 is 8/232940

2 4912, 8008
2 2456, 4004
2 1228, 2002
614, 1001

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4912,8008 By Matching Biggest Common Factor Method

Greatest Common Factor of 4912,8008 By Matching Biggest Common Factor Method

Factors of 4912

List of positive integer factors of 4912 that divides 4912 without a remainder.

1,2,4,8,16,307,614,1228,2456,4912

Factors of 8008

List of positive integer factors of 8008 that divides 8008 without a remainder.

1,2,4,7,8,11,13,14,22,26,28,44,52,56,77,88,91,104,143,154,182,286,308,364,572,616,728,1001,1144,2002,4004,8008

Greatest Common Factor

We found the factors 4912,8008 . The biggest common factor number is the GCF number.
So the greatest common factor 4912,8008 is 8.

Lets's calculate LCM of 380,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 232940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/232940

Therefore, the GCF of Fractions 4912/380,8008/613 is 8/232940

Least Common Multiple of 380,613 with GCF Formula

Least Common Multiple of 380,613 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 380,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,613) = 1

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

GCF(380,613) x common factors =1 x 1 = 1

LCM(380,613) = ( 380 × 613 ) / 1

LCM(380,613) = 232940 / 1

LCM(380,613) = 232940


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 4912/380, 8008/613

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 4912/380, 8008/613?

Answer: GCF of Numerators as per given numbers 4912/380, 8008/613 is

GCF of Numerators i.e. for 4912,8008 is 8

LCM of denominators i.e. for 380,613 is 232940.

Thus, GCF of Fractions is 8/232940.Finally, GCF of Fractions for 4912/380, 8008/613 is 8/232940.