Greatest Common Factor of 6262/453, 3263/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6262/453, 3263/972

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 6262/453,3263/972

Given fractions are 6262/453,3263/972

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 6262,3263

Greatest Common Factor of Numerators i.e. GCF of 6262,3263 is 1 .

LCM of Denominators means LCM of 453,972 as per the given fractions.

LCM of 453,972 is 146772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6262,3263

GCF of Fractions 6262/453,3263/972 is 1/146772

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

Greatest Common Factor of 6262,3263 By Matching Biggest Common Factor Method

Greatest Common Factor of 6262,3263 By Matching Biggest Common Factor Method

Factors of 6262

List of positive integer factors of 6262 that divides 6262 without a remainder.

1,2,31,62,101,202,3131,6262

Factors of 3263

List of positive integer factors of 3263 that divides 3263 without a remainder.

1,13,251,3263

Greatest Common Factor

We found the factors 6262,3263 . The biggest common factor number is the GCF number.
So the greatest common factor 6262,3263 is 1.

Lets's calculate LCM of 453,972

3 453, 972
151, 324

∴ So the LCM of the given numbers is 3 x 151 x 324 = 146772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146772

Therefore, the GCF of Fractions 6262/453,3263/972 is 1/146772

Least Common Multiple of 453,972 with GCF Formula

Least Common Multiple of 453,972 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 453,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(453,972) = 3

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

GCF(453,972) x common factors =3 x 1 = 3

LCM(453,972) = ( 453 × 972 ) / 3

LCM(453,972) = 440316 / 3

LCM(453,972) = 146772


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 6262/453, 3263/972

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 6262/453, 3263/972?

Answer: GCF of Numerators as per given numbers 6262/453, 3263/972 is

GCF of Numerators i.e. for 6262,3263 is 1

LCM of denominators i.e. for 453,972 is 146772.

Thus, GCF of Fractions is 1/146772.Finally, GCF of Fractions for 6262/453, 3263/972 is 1/146772.