Greatest Common Factor of 8602/911, 4702/8957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8602/911, 4702/8957

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 8602/911,4702/8957

Given fractions are 8602/911,4702/8957

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 8602,4702

Greatest Common Factor of Numerators i.e. GCF of 8602,4702 is 2 .

LCM of Denominators means LCM of 911,8957 as per the given fractions.

LCM of 911,8957 is 8159827 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8602,4702

GCF of Fractions 8602/911,4702/8957 is 2/8159827

2 8602, 4702
4301, 2351

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

Greatest Common Factor of 8602,4702 By Matching Biggest Common Factor Method

Greatest Common Factor of 8602,4702 By Matching Biggest Common Factor Method

Factors of 8602

List of positive integer factors of 8602 that divides 8602 without a remainder.

1,2,11,17,22,23,34,46,187,253,374,391,506,782,4301,8602

Factors of 4702

List of positive integer factors of 4702 that divides 4702 without a remainder.

1,2,2351,4702

Greatest Common Factor

We found the factors 8602,4702 . The biggest common factor number is the GCF number.
So the greatest common factor 8602,4702 is 2.

Lets's calculate LCM of 911,8957

Given numbers has no common factors except 1. So, there LCM is their product i.e 8159827

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8159827

Therefore, the GCF of Fractions 8602/911,4702/8957 is 2/8159827

Least Common Multiple of 911,8957 with GCF Formula

Least Common Multiple of 911,8957 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 911,8957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,8957) = 1

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

GCF(911,8957) x common factors =1 x 1 = 1

LCM(911,8957) = ( 911 × 8957 ) / 1

LCM(911,8957) = 8159827 / 1

LCM(911,8957) = 8159827


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 8602/911, 4702/8957

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 8602/911, 4702/8957?

Answer: GCF of Numerators as per given numbers 8602/911, 4702/8957 is

GCF of Numerators i.e. for 8602,4702 is 2

LCM of denominators i.e. for 911,8957 is 8159827.

Thus, GCF of Fractions is 2/8159827.Finally, GCF of Fractions for 8602/911, 4702/8957 is 2/8159827.