Greatest Common Factor of 831/14, 970/3728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 831/14, 970/3728

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 831/14,970/3728

Given fractions are 831/14,970/3728

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 831,970

Greatest Common Factor of Numerators i.e. GCF of 831,970 is 1 .

LCM of Denominators means LCM of 14,3728 as per the given fractions.

LCM of 14,3728 is 26096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 831,970

GCF of Fractions 831/14,970/3728 is 1/26096

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

Greatest Common Factor of 831,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,970 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 831,970 . The biggest common factor number is the GCF number.
So the greatest common factor 831,970 is 1.

Lets's calculate LCM of 14,3728

2 14, 3728
7, 1864

∴ So the LCM of the given numbers is 2 x 7 x 1864 = 26096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26096

Therefore, the GCF of Fractions 831/14,970/3728 is 1/26096

Least Common Multiple of 14,3728 with GCF Formula

Least Common Multiple of 14,3728 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 14,3728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,3728) = 2

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

GCF(14,3728) x common factors =2 x 1 = 2

LCM(14,3728) = ( 14 × 3728 ) / 2

LCM(14,3728) = 52192 / 2

LCM(14,3728) = 26096


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 831/14, 970/3728

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 831/14, 970/3728?

Answer: GCF of Numerators as per given numbers 831/14, 970/3728 is

GCF of Numerators i.e. for 831,970 is 1

LCM of denominators i.e. for 14,3728 is 26096.

Thus, GCF of Fractions is 1/26096.Finally, GCF of Fractions for 831/14, 970/3728 is 1/26096.