Greatest Common Factor of 641/74, 462/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 641/74, 462/622

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 641/74,462/622

Given fractions are 641/74,462/622

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 641,462

Greatest Common Factor of Numerators i.e. GCF of 641,462 is 1 .

LCM of Denominators means LCM of 74,622 as per the given fractions.

LCM of 74,622 is 23014 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 641,462

GCF of Fractions 641/74,462/622 is 1/23014

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

Greatest Common Factor of 641,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 641,462 By Matching Biggest Common Factor Method

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 641,462 . The biggest common factor number is the GCF number.
So the greatest common factor 641,462 is 1.

Lets's calculate LCM of 74,622

2 74, 622
37, 311

∴ So the LCM of the given numbers is 2 x 37 x 311 = 23014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23014

Therefore, the GCF of Fractions 641/74,462/622 is 1/23014

Least Common Multiple of 74,622 with GCF Formula

Least Common Multiple of 74,622 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 74,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,622) = 2

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

GCF(74,622) x common factors =2 x 1 = 2

LCM(74,622) = ( 74 × 622 ) / 2

LCM(74,622) = 46028 / 2

LCM(74,622) = 23014


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 641/74, 462/622

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 641/74, 462/622?

Answer: GCF of Numerators as per given numbers 641/74, 462/622 is

GCF of Numerators i.e. for 641,462 is 1

LCM of denominators i.e. for 74,622 is 23014.

Thus, GCF of Fractions is 1/23014.Finally, GCF of Fractions for 641/74, 462/622 is 1/23014.