Greatest Common Factor of 251/429, 2653/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 251/429, 2653/970

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 251/429,2653/970

Given fractions are 251/429,2653/970

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 251,2653

Greatest Common Factor of Numerators i.e. GCF of 251,2653 is 1 .

LCM of Denominators means LCM of 429,970 as per the given fractions.

LCM of 429,970 is 416130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 251,2653

GCF of Fractions 251/429,2653/970 is 1/416130

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

Greatest Common Factor of 251,2653 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,2653 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 2653

List of positive integer factors of 2653 that divides 2653 without a remainder.

1,7,379,2653

Greatest Common Factor

We found the factors 251,2653 . The biggest common factor number is the GCF number.
So the greatest common factor 251,2653 is 1.

Lets's calculate LCM of 429,970

Given numbers has no common factors except 1. So, there LCM is their product i.e 416130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416130

Therefore, the GCF of Fractions 251/429,2653/970 is 1/416130

Least Common Multiple of 429,970 with GCF Formula

Least Common Multiple of 429,970 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 429,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,970) = 1

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

GCF(429,970) x common factors =1 x 1 = 1

LCM(429,970) = ( 429 × 970 ) / 1

LCM(429,970) = 416130 / 1

LCM(429,970) = 416130


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 251/429, 2653/970

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 251/429, 2653/970?

Answer: GCF of Numerators as per given numbers 251/429, 2653/970 is

GCF of Numerators i.e. for 251,2653 is 1

LCM of denominators i.e. for 429,970 is 416130.

Thus, GCF of Fractions is 1/416130.Finally, GCF of Fractions for 251/429, 2653/970 is 1/416130.