Greatest Common Factor of 8164/657, 6906/9931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8164/657, 6906/9931

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 8164/657,6906/9931

Given fractions are 8164/657,6906/9931

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 8164,6906

Greatest Common Factor of Numerators i.e. GCF of 8164,6906 is 2 .

LCM of Denominators means LCM of 657,9931 as per the given fractions.

LCM of 657,9931 is 6524667 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8164,6906

GCF of Fractions 8164/657,6906/9931 is 2/6524667

2 8164, 6906
4082, 3453

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

Greatest Common Factor of 8164,6906 By Matching Biggest Common Factor Method

Greatest Common Factor of 8164,6906 By Matching Biggest Common Factor Method

Factors of 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1,2,4,13,26,52,157,314,628,2041,4082,8164

Factors of 6906

List of positive integer factors of 6906 that divides 6906 without a remainder.

1,2,3,6,1151,2302,3453,6906

Greatest Common Factor

We found the factors 8164,6906 . The biggest common factor number is the GCF number.
So the greatest common factor 8164,6906 is 2.

Lets's calculate LCM of 657,9931

Given numbers has no common factors except 1. So, there LCM is their product i.e 6524667

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6524667

Therefore, the GCF of Fractions 8164/657,6906/9931 is 2/6524667

Least Common Multiple of 657,9931 with GCF Formula

Least Common Multiple of 657,9931 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 657,9931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,9931) = 1

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

GCF(657,9931) x common factors =1 x 1 = 1

LCM(657,9931) = ( 657 × 9931 ) / 1

LCM(657,9931) = 6524667 / 1

LCM(657,9931) = 6524667


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 8164/657, 6906/9931

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 8164/657, 6906/9931?

Answer: GCF of Numerators as per given numbers 8164/657, 6906/9931 is

GCF of Numerators i.e. for 8164,6906 is 2

LCM of denominators i.e. for 657,9931 is 6524667.

Thus, GCF of Fractions is 2/6524667.Finally, GCF of Fractions for 8164/657, 6906/9931 is 2/6524667.