Greatest Common Factor of 709/92, 757/97, 776/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 709/92, 757/97, 776/764

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 709/92,757/97,776/764

Given fractions are 709/92,757/97,776/764

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 709,757,776

Greatest Common Factor of Numerators i.e. GCF of 709,757,776 is 1 .

LCM of Denominators means LCM of 92,97,764 as per the given fractions.

LCM of 92,97,764 is 1704484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 709,757,776

GCF of Fractions 709/92,757/97,776/764 is 1/1704484

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

Greatest Common Factor of 709,757,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,757,776 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 709,757,776 . The biggest common factor number is the GCF number.
So the greatest common factor 709,757,776 is 1.

Lets's calculate LCM of 92,97,764

2 92, 97, 764
2 46, 97, 382
23, 97, 191

∴ So the LCM of the given numbers is 2 x 2 x 23 x 97 x 191 = 1704484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1704484

Therefore, the GCF of Fractions 709/92,757/97,776/764 is 1/1704484

Least Common Multiple of 92,97,764 with GCF Formula

Least Common Multiple of 92,97,764 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 92,97,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,97,764) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,97,764) x common factors =1 x 4 = 4

LCM(92,97,764) = ( 92 × 97 × 764 ) / 4

LCM(92,97,764) = 6817936 / 4

LCM(92,97,764) = 1704484


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 709/92, 757/97, 776/764

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 709/92, 757/97, 776/764?

Answer: GCF of Numerators as per given numbers 709/92, 757/97, 776/764 is

GCF of Numerators i.e. for 709,757,776 is 1

LCM of denominators i.e. for 92,97,764 is 1704484.

Thus, GCF of Fractions is 1/1704484.Finally, GCF of Fractions for 709/92, 757/97, 776/764 is 1/1704484.