Greatest Common Factor of 657/692, 1629/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/692, 1629/141

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 657/692,1629/141

Given fractions are 657/692,1629/141

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 657,1629

Greatest Common Factor of Numerators i.e. GCF of 657,1629 is 9 .

LCM of Denominators means LCM of 692,141 as per the given fractions.

LCM of 692,141 is 97572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,1629

GCF of Fractions 657/692,1629/141 is 9/97572

3 657, 1629
3 219, 543
73, 181

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 657,1629 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,1629 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 1629

List of positive integer factors of 1629 that divides 1629 without a remainder.

1,3,9,181,543,1629

Greatest Common Factor

We found the factors 657,1629 . The biggest common factor number is the GCF number.
So the greatest common factor 657,1629 is 9.

Lets's calculate LCM of 692,141

Given numbers has no common factors except 1. So, there LCM is their product i.e 97572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/97572

Therefore, the GCF of Fractions 657/692,1629/141 is 9/97572

Least Common Multiple of 692,141 with GCF Formula

Least Common Multiple of 692,141 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 692,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,141) = 1

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

GCF(692,141) x common factors =1 x 1 = 1

LCM(692,141) = ( 692 × 141 ) / 1

LCM(692,141) = 97572 / 1

LCM(692,141) = 97572


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 657/692, 1629/141

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 657/692, 1629/141?

Answer: GCF of Numerators as per given numbers 657/692, 1629/141 is

GCF of Numerators i.e. for 657,1629 is 9

LCM of denominators i.e. for 692,141 is 97572.

Thus, GCF of Fractions is 9/97572.Finally, GCF of Fractions for 657/692, 1629/141 is 9/97572.