Greatest Common Factor of 6953/220, 3142/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6953/220, 3142/105

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 6953/220,3142/105

Given fractions are 6953/220,3142/105

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 6953,3142

Greatest Common Factor of Numerators i.e. GCF of 6953,3142 is 1 .

LCM of Denominators means LCM of 220,105 as per the given fractions.

LCM of 220,105 is 4620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6953,3142

GCF of Fractions 6953/220,3142/105 is 1/4620

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

Greatest Common Factor of 6953,3142 By Matching Biggest Common Factor Method

Greatest Common Factor of 6953,3142 By Matching Biggest Common Factor Method

Factors of 6953

List of positive integer factors of 6953 that divides 6953 without a remainder.

1,17,409,6953

Factors of 3142

List of positive integer factors of 3142 that divides 3142 without a remainder.

1,2,1571,3142

Greatest Common Factor

We found the factors 6953,3142 . The biggest common factor number is the GCF number.
So the greatest common factor 6953,3142 is 1.

Lets's calculate LCM of 220,105

5 220, 105
44, 21

∴ So the LCM of the given numbers is 5 x 44 x 21 = 4620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620

Therefore, the GCF of Fractions 6953/220,3142/105 is 1/4620

Least Common Multiple of 220,105 with GCF Formula

Least Common Multiple of 220,105 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 220,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,105) = 5

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

GCF(220,105) x common factors =5 x 1 = 5

LCM(220,105) = ( 220 × 105 ) / 5

LCM(220,105) = 23100 / 5

LCM(220,105) = 4620


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 6953/220, 3142/105

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 6953/220, 3142/105?

Answer: GCF of Numerators as per given numbers 6953/220, 3142/105 is

GCF of Numerators i.e. for 6953,3142 is 1

LCM of denominators i.e. for 220,105 is 4620.

Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 6953/220, 3142/105 is 1/4620.