Greatest Common Factor of 654/346, 1621/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/346, 1621/951

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 654/346,1621/951

Given fractions are 654/346,1621/951

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 654,1621

Greatest Common Factor of Numerators i.e. GCF of 654,1621 is 1 .

LCM of Denominators means LCM of 346,951 as per the given fractions.

LCM of 346,951 is 329046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,1621

GCF of Fractions 654/346,1621/951 is 1/329046

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

Greatest Common Factor of 654,1621 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,1621 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 1621

List of positive integer factors of 1621 that divides 1621 without a remainder.

1,1621

Greatest Common Factor

We found the factors 654,1621 . The biggest common factor number is the GCF number.
So the greatest common factor 654,1621 is 1.

Lets's calculate LCM of 346,951

Given numbers has no common factors except 1. So, there LCM is their product i.e 329046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329046

Therefore, the GCF of Fractions 654/346,1621/951 is 1/329046

Least Common Multiple of 346,951 with GCF Formula

Least Common Multiple of 346,951 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 346,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,951) = 1

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

GCF(346,951) x common factors =1 x 1 = 1

LCM(346,951) = ( 346 × 951 ) / 1

LCM(346,951) = 329046 / 1

LCM(346,951) = 329046


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 654/346, 1621/951

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 654/346, 1621/951?

Answer: GCF of Numerators as per given numbers 654/346, 1621/951 is

GCF of Numerators i.e. for 654,1621 is 1

LCM of denominators i.e. for 346,951 is 329046.

Thus, GCF of Fractions is 1/329046.Finally, GCF of Fractions for 654/346, 1621/951 is 1/329046.