Greatest Common Factor of 7622/397, 1429/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7622/397, 1429/634

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 7622/397,1429/634

Given fractions are 7622/397,1429/634

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 7622,1429

Greatest Common Factor of Numerators i.e. GCF of 7622,1429 is 1 .

LCM of Denominators means LCM of 397,634 as per the given fractions.

LCM of 397,634 is 251698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7622,1429

GCF of Fractions 7622/397,1429/634 is 1/251698

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

Greatest Common Factor of 7622,1429 By Matching Biggest Common Factor Method

Greatest Common Factor of 7622,1429 By Matching Biggest Common Factor Method

Factors of 7622

List of positive integer factors of 7622 that divides 7622 without a remainder.

1,2,37,74,103,206,3811,7622

Factors of 1429

List of positive integer factors of 1429 that divides 1429 without a remainder.

1,1429

Greatest Common Factor

We found the factors 7622,1429 . The biggest common factor number is the GCF number.
So the greatest common factor 7622,1429 is 1.

Lets's calculate LCM of 397,634

Given numbers has no common factors except 1. So, there LCM is their product i.e 251698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251698

Therefore, the GCF of Fractions 7622/397,1429/634 is 1/251698

Least Common Multiple of 397,634 with GCF Formula

Least Common Multiple of 397,634 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 397,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,634) = 1

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

GCF(397,634) x common factors =1 x 1 = 1

LCM(397,634) = ( 397 × 634 ) / 1

LCM(397,634) = 251698 / 1

LCM(397,634) = 251698


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 7622/397, 1429/634

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 7622/397, 1429/634?

Answer: GCF of Numerators as per given numbers 7622/397, 1429/634 is

GCF of Numerators i.e. for 7622,1429 is 1

LCM of denominators i.e. for 397,634 is 251698.

Thus, GCF of Fractions is 1/251698.Finally, GCF of Fractions for 7622/397, 1429/634 is 1/251698.