Greatest Common Factor of 782/78, 649/43, 352/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 782/78, 649/43, 352/31

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 782/78,649/43,352/31

Given fractions are 782/78,649/43,352/31

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 782,649,352

Greatest Common Factor of Numerators i.e. GCF of 782,649,352 is 1 .

LCM of Denominators means LCM of 78,43,31 as per the given fractions.

LCM of 78,43,31 is 103974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 782,649,352

GCF of Fractions 782/78,649/43,352/31 is 1/103974

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

Greatest Common Factor of 782,649,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,649,352 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 782,649,352 . The biggest common factor number is the GCF number.
So the greatest common factor 782,649,352 is 1.

Lets's calculate LCM of 78,43,31

Given numbers has no common factors except 1. So, there LCM is their product i.e 103974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103974

Therefore, the GCF of Fractions 782/78,649/43,352/31 is 1/103974

Least Common Multiple of 78,43,31 with GCF Formula

Least Common Multiple of 78,43,31 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 78,43,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,43,31) = 1

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

GCF(78,43,31) x common factors =1 x 1 = 1

LCM(78,43,31) = ( 78 × 43 × 31 ) / 1

LCM(78,43,31) = 103974 / 1

LCM(78,43,31) = 103974


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 782/78, 649/43, 352/31

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 782/78, 649/43, 352/31?

Answer: GCF of Numerators as per given numbers 782/78, 649/43, 352/31 is

GCF of Numerators i.e. for 782,649,352 is 1

LCM of denominators i.e. for 78,43,31 is 103974.

Thus, GCF of Fractions is 1/103974.Finally, GCF of Fractions for 782/78, 649/43, 352/31 is 1/103974.