Greatest Common Factor of 435/643, 142/121, 162/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/643, 142/121, 162/131

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 435/643,142/121,162/131

Given fractions are 435/643,142/121,162/131

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 435,142,162

Greatest Common Factor of Numerators i.e. GCF of 435,142,162 is 1 .

LCM of Denominators means LCM of 643,121,131 as per the given fractions.

LCM of 643,121,131 is 10192193 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,142,162

GCF of Fractions 435/643,142/121,162/131 is 1/10192193

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

Greatest Common Factor of 435,142,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,142,162 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 435,142,162 . The biggest common factor number is the GCF number.
So the greatest common factor 435,142,162 is 1.

Lets's calculate LCM of 643,121,131

Given numbers has no common factors except 1. So, there LCM is their product i.e 10192193

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10192193

Therefore, the GCF of Fractions 435/643,142/121,162/131 is 1/10192193

Least Common Multiple of 643,121,131 with GCF Formula

Least Common Multiple of 643,121,131 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 643,121,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,121,131) = 1

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

GCF(643,121,131) x common factors =1 x 1 = 1

LCM(643,121,131) = ( 643 × 121 × 131 ) / 1

LCM(643,121,131) = 10192193 / 1

LCM(643,121,131) = 10192193


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 435/643, 142/121, 162/131

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 435/643, 142/121, 162/131?

Answer: GCF of Numerators as per given numbers 435/643, 142/121, 162/131 is

GCF of Numerators i.e. for 435,142,162 is 1

LCM of denominators i.e. for 643,121,131 is 10192193.

Thus, GCF of Fractions is 1/10192193.Finally, GCF of Fractions for 435/643, 142/121, 162/131 is 1/10192193.