Greatest Common Factor of 8960/986, 1682/5944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8960/986, 1682/5944

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 8960/986,1682/5944

Given fractions are 8960/986,1682/5944

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 8960,1682

Greatest Common Factor of Numerators i.e. GCF of 8960,1682 is 2 .

LCM of Denominators means LCM of 986,5944 as per the given fractions.

LCM of 986,5944 is 2930392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8960,1682

GCF of Fractions 8960/986,1682/5944 is 2/2930392

2 8960, 1682
4480, 841

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8960,1682 By Matching Biggest Common Factor Method

Greatest Common Factor of 8960,1682 By Matching Biggest Common Factor Method

Factors of 8960

List of positive integer factors of 8960 that divides 8960 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960

Factors of 1682

List of positive integer factors of 1682 that divides 1682 without a remainder.

1,2,29,58,841,1682

Greatest Common Factor

We found the factors 8960,1682 . The biggest common factor number is the GCF number.
So the greatest common factor 8960,1682 is 2.

Lets's calculate LCM of 986,5944

2 986, 5944
493, 2972

∴ So the LCM of the given numbers is 2 x 493 x 2972 = 2930392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2930392

Therefore, the GCF of Fractions 8960/986,1682/5944 is 2/2930392

Least Common Multiple of 986,5944 with GCF Formula

Least Common Multiple of 986,5944 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 986,5944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,5944) = 2

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

GCF(986,5944) x common factors =2 x 1 = 2

LCM(986,5944) = ( 986 × 5944 ) / 2

LCM(986,5944) = 5860784 / 2

LCM(986,5944) = 2930392


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 8960/986, 1682/5944

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 8960/986, 1682/5944?

Answer: GCF of Numerators as per given numbers 8960/986, 1682/5944 is

GCF of Numerators i.e. for 8960,1682 is 2

LCM of denominators i.e. for 986,5944 is 2930392.

Thus, GCF of Fractions is 2/2930392.Finally, GCF of Fractions for 8960/986, 1682/5944 is 2/2930392.