Greatest Common Factor of 32/707, 977/917, 709/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/707, 977/917, 709/104

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 32/707,977/917,709/104

Given fractions are 32/707,977/917,709/104

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 32,977,709

Greatest Common Factor of Numerators i.e. GCF of 32,977,709 is 1 .

LCM of Denominators means LCM of 707,917,104 as per the given fractions.

LCM of 707,917,104 is 9632168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,977,709

GCF of Fractions 32/707,977/917,709/104 is 1/9632168

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

Greatest Common Factor of 32,977,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,977,709 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

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 32,977,709 . The biggest common factor number is the GCF number.
So the greatest common factor 32,977,709 is 1.

Lets's calculate LCM of 707,917,104

7 707, 917, 104
101, 131, 104

∴ So the LCM of the given numbers is 7 x 101 x 131 x 104 = 9632168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9632168

Therefore, the GCF of Fractions 32/707,977/917,709/104 is 1/9632168

Least Common Multiple of 707,917,104 with GCF Formula

Least Common Multiple of 707,917,104 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 707,917,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,917,104) = 1

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

GCF(707,917,104) x common factors =1 x 7 = 7

LCM(707,917,104) = ( 707 × 917 × 104 ) / 7

LCM(707,917,104) = 67425176 / 7

LCM(707,917,104) = 9632168


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 32/707, 977/917, 709/104

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 32/707, 977/917, 709/104?

Answer: GCF of Numerators as per given numbers 32/707, 977/917, 709/104 is

GCF of Numerators i.e. for 32,977,709 is 1

LCM of denominators i.e. for 707,917,104 is 9632168.

Thus, GCF of Fractions is 1/9632168.Finally, GCF of Fractions for 32/707, 977/917, 709/104 is 1/9632168.