Greatest Common Factor of 1965/772, 8401/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1965/772, 8401/644

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 1965/772,8401/644

Given fractions are 1965/772,8401/644

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 1965,8401

Greatest Common Factor of Numerators i.e. GCF of 1965,8401 is 1 .

LCM of Denominators means LCM of 772,644 as per the given fractions.

LCM of 772,644 is 124292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1965,8401

GCF of Fractions 1965/772,8401/644 is 1/124292

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

Greatest Common Factor of 1965,8401 By Matching Biggest Common Factor Method

Greatest Common Factor of 1965,8401 By Matching Biggest Common Factor Method

Factors of 1965

List of positive integer factors of 1965 that divides 1965 without a remainder.

1,3,5,15,131,393,655,1965

Factors of 8401

List of positive integer factors of 8401 that divides 8401 without a remainder.

1,31,271,8401

Greatest Common Factor

We found the factors 1965,8401 . The biggest common factor number is the GCF number.
So the greatest common factor 1965,8401 is 1.

Lets's calculate LCM of 772,644

2 772, 644
2 386, 322
193, 161

∴ So the LCM of the given numbers is 2 x 2 x 193 x 161 = 124292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124292

Therefore, the GCF of Fractions 1965/772,8401/644 is 1/124292

Least Common Multiple of 772,644 with GCF Formula

Least Common Multiple of 772,644 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 772,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,644) = 4

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

GCF(772,644) x common factors =4 x 1 = 4

LCM(772,644) = ( 772 × 644 ) / 4

LCM(772,644) = 497168 / 4

LCM(772,644) = 124292


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 1965/772, 8401/644

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 1965/772, 8401/644?

Answer: GCF of Numerators as per given numbers 1965/772, 8401/644 is

GCF of Numerators i.e. for 1965,8401 is 1

LCM of denominators i.e. for 772,644 is 124292.

Thus, GCF of Fractions is 1/124292.Finally, GCF of Fractions for 1965/772, 8401/644 is 1/124292.