Greatest Common Factor of 155/932, 434/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 155/932, 434/557

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 155/932,434/557

Given fractions are 155/932,434/557

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 155,434

Greatest Common Factor of Numerators i.e. GCF of 155,434 is 31 .

LCM of Denominators means LCM of 932,557 as per the given fractions.

LCM of 932,557 is 519124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 155,434

GCF of Fractions 155/932,434/557 is 31/519124

31 155, 434
5, 14

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 155,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,434 By Matching Biggest Common Factor Method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 155,434 . The biggest common factor number is the GCF number.
So the greatest common factor 155,434 is 31.

Lets's calculate LCM of 932,557

Given numbers has no common factors except 1. So, there LCM is their product i.e 519124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/519124

Therefore, the GCF of Fractions 155/932,434/557 is 31/519124

Least Common Multiple of 932,557 with GCF Formula

Least Common Multiple of 932,557 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 932,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,557) = 1

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

GCF(932,557) x common factors =1 x 1 = 1

LCM(932,557) = ( 932 × 557 ) / 1

LCM(932,557) = 519124 / 1

LCM(932,557) = 519124


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 155/932, 434/557

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 155/932, 434/557?

Answer: GCF of Numerators as per given numbers 155/932, 434/557 is

GCF of Numerators i.e. for 155,434 is 31

LCM of denominators i.e. for 932,557 is 519124.

Thus, GCF of Fractions is 31/519124.Finally, GCF of Fractions for 155/932, 434/557 is 31/519124.