Greatest Common Factor of 6960/229, 5395/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6960/229, 5395/682

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 6960/229,5395/682

Given fractions are 6960/229,5395/682

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 6960,5395

Greatest Common Factor of Numerators i.e. GCF of 6960,5395 is 5 .

LCM of Denominators means LCM of 229,682 as per the given fractions.

LCM of 229,682 is 156178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6960,5395

GCF of Fractions 6960/229,5395/682 is 5/156178

5 6960, 5395
1392, 1079

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6960,5395 By Matching Biggest Common Factor Method

Greatest Common Factor of 6960,5395 By Matching Biggest Common Factor Method

Factors of 6960

List of positive integer factors of 6960 that divides 6960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,29,30,40,48,58,60,80,87,116,120,145,174,232,240,290,348,435,464,580,696,870,1160,1392,1740,2320,3480,6960

Factors of 5395

List of positive integer factors of 5395 that divides 5395 without a remainder.

1,5,13,65,83,415,1079,5395

Greatest Common Factor

We found the factors 6960,5395 . The biggest common factor number is the GCF number.
So the greatest common factor 6960,5395 is 5.

Lets's calculate LCM of 229,682

Given numbers has no common factors except 1. So, there LCM is their product i.e 156178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/156178

Therefore, the GCF of Fractions 6960/229,5395/682 is 5/156178

Least Common Multiple of 229,682 with GCF Formula

Least Common Multiple of 229,682 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 229,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,682) = 1

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

GCF(229,682) x common factors =1 x 1 = 1

LCM(229,682) = ( 229 × 682 ) / 1

LCM(229,682) = 156178 / 1

LCM(229,682) = 156178


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 6960/229, 5395/682

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 6960/229, 5395/682?

Answer: GCF of Numerators as per given numbers 6960/229, 5395/682 is

GCF of Numerators i.e. for 6960,5395 is 5

LCM of denominators i.e. for 229,682 is 156178.

Thus, GCF of Fractions is 5/156178.Finally, GCF of Fractions for 6960/229, 5395/682 is 5/156178.