Greatest Common Factor of 781/76, 700/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 781/76, 700/328

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 781/76,700/328

Given fractions are 781/76,700/328

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 781,700

Greatest Common Factor of Numerators i.e. GCF of 781,700 is 1 .

LCM of Denominators means LCM of 76,328 as per the given fractions.

LCM of 76,328 is 6232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 781,700

GCF of Fractions 781/76,700/328 is 1/6232

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

Greatest Common Factor of 781,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,700 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 781,700 . The biggest common factor number is the GCF number.
So the greatest common factor 781,700 is 1.

Lets's calculate LCM of 76,328

2 76, 328
2 38, 164
19, 82

∴ So the LCM of the given numbers is 2 x 2 x 19 x 82 = 6232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6232

Therefore, the GCF of Fractions 781/76,700/328 is 1/6232

Least Common Multiple of 76,328 with GCF Formula

Least Common Multiple of 76,328 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 76,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,328) = 4

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

GCF(76,328) x common factors =4 x 1 = 4

LCM(76,328) = ( 76 × 328 ) / 4

LCM(76,328) = 24928 / 4

LCM(76,328) = 6232


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 781/76, 700/328

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 781/76, 700/328?

Answer: GCF of Numerators as per given numbers 781/76, 700/328 is

GCF of Numerators i.e. for 781,700 is 1

LCM of denominators i.e. for 76,328 is 6232.

Thus, GCF of Fractions is 1/6232.Finally, GCF of Fractions for 781/76, 700/328 is 1/6232.