Greatest Common Factor of 9709/67, 8164/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9709/67, 8164/710

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 9709/67,8164/710

Given fractions are 9709/67,8164/710

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 9709,8164

Greatest Common Factor of Numerators i.e. GCF of 9709,8164 is 1 .

LCM of Denominators means LCM of 67,710 as per the given fractions.

LCM of 67,710 is 47570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9709,8164

GCF of Fractions 9709/67,8164/710 is 1/47570

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9709,8164 By Matching Biggest Common Factor Method

Greatest Common Factor of 9709,8164 By Matching Biggest Common Factor Method

Factors of 9709

List of positive integer factors of 9709 that divides 9709 without a remainder.

1,7,19,73,133,511,1387,9709

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

Greatest Common Factor

We found the factors 9709,8164 . The biggest common factor number is the GCF number.
So the greatest common factor 9709,8164 is 1.

Lets's calculate LCM of 67,710

Given numbers has no common factors except 1. So, there LCM is their product i.e 47570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47570

Therefore, the GCF of Fractions 9709/67,8164/710 is 1/47570

Least Common Multiple of 67,710 with GCF Formula

Least Common Multiple of 67,710 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 67,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,710) = 1

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

GCF(67,710) x common factors =1 x 1 = 1

LCM(67,710) = ( 67 × 710 ) / 1

LCM(67,710) = 47570 / 1

LCM(67,710) = 47570


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 9709/67, 8164/710

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 9709/67, 8164/710?

Answer: GCF of Numerators as per given numbers 9709/67, 8164/710 is

GCF of Numerators i.e. for 9709,8164 is 1

LCM of denominators i.e. for 67,710 is 47570.

Thus, GCF of Fractions is 1/47570.Finally, GCF of Fractions for 9709/67, 8164/710 is 1/47570.