Greatest Common Factor of 429/15, 157/7127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 429/15, 157/7127

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 429/15,157/7127

Given fractions are 429/15,157/7127

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 429,157

Greatest Common Factor of Numerators i.e. GCF of 429,157 is 1 .

LCM of Denominators means LCM of 15,7127 as per the given fractions.

LCM of 15,7127 is 106905 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 429,157

GCF of Fractions 429/15,157/7127 is 1/106905

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

Greatest Common Factor of 429,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,157 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 429,157 . The biggest common factor number is the GCF number.
So the greatest common factor 429,157 is 1.

Lets's calculate LCM of 15,7127

Given numbers has no common factors except 1. So, there LCM is their product i.e 106905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106905

Therefore, the GCF of Fractions 429/15,157/7127 is 1/106905

Least Common Multiple of 15,7127 with GCF Formula

Least Common Multiple of 15,7127 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 15,7127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,7127) = 1

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

GCF(15,7127) x common factors =1 x 1 = 1

LCM(15,7127) = ( 15 × 7127 ) / 1

LCM(15,7127) = 106905 / 1

LCM(15,7127) = 106905


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 429/15, 157/7127

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 429/15, 157/7127?

Answer: GCF of Numerators as per given numbers 429/15, 157/7127 is

GCF of Numerators i.e. for 429,157 is 1

LCM of denominators i.e. for 15,7127 is 106905.

Thus, GCF of Fractions is 1/106905.Finally, GCF of Fractions for 429/15, 157/7127 is 1/106905.