Greatest Common Factor of 592/31, 930/77, 709/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 592/31, 930/77, 709/763

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 592/31,930/77,709/763

Given fractions are 592/31,930/77,709/763

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 592,930,709

Greatest Common Factor of Numerators i.e. GCF of 592,930,709 is 1 .

LCM of Denominators means LCM of 31,77,763 as per the given fractions.

LCM of 31,77,763 is 260183 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 592,930,709

GCF of Fractions 592/31,930/77,709/763 is 1/260183

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

Greatest Common Factor of 592,930,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,930,709 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 709

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

1,709

Greatest Common Factor

We found the factors 592,930,709 . The biggest common factor number is the GCF number.
So the greatest common factor 592,930,709 is 1.

Lets's calculate LCM of 31,77,763

7 31, 77, 763
31, 11, 109

∴ So the LCM of the given numbers is 7 x 31 x 11 x 109 = 260183

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260183

Therefore, the GCF of Fractions 592/31,930/77,709/763 is 1/260183

Least Common Multiple of 31,77,763 with GCF Formula

Least Common Multiple of 31,77,763 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 31,77,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,77,763) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(31,77,763) x common factors =1 x 7 = 7

LCM(31,77,763) = ( 31 × 77 × 763 ) / 7

LCM(31,77,763) = 1821281 / 7

LCM(31,77,763) = 260183


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 592/31, 930/77, 709/763

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 592/31, 930/77, 709/763?

Answer: GCF of Numerators as per given numbers 592/31, 930/77, 709/763 is

GCF of Numerators i.e. for 592,930,709 is 1

LCM of denominators i.e. for 31,77,763 is 260183.

Thus, GCF of Fractions is 1/260183.Finally, GCF of Fractions for 592/31, 930/77, 709/763 is 1/260183.