Greatest Common Factor of 154/427, 5232/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 154/427, 5232/218

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 154/427,5232/218

Given fractions are 154/427,5232/218

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 154,5232

Greatest Common Factor of Numerators i.e. GCF of 154,5232 is 2 .

LCM of Denominators means LCM of 427,218 as per the given fractions.

LCM of 427,218 is 93086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 154,5232

GCF of Fractions 154/427,5232/218 is 2/93086

2 154, 5232
77, 2616

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 154,5232 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,5232 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 5232

List of positive integer factors of 5232 that divides 5232 without a remainder.

1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232

Greatest Common Factor

We found the factors 154,5232 . The biggest common factor number is the GCF number.
So the greatest common factor 154,5232 is 2.

Lets's calculate LCM of 427,218

Given numbers has no common factors except 1. So, there LCM is their product i.e 93086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93086

Therefore, the GCF of Fractions 154/427,5232/218 is 2/93086

Least Common Multiple of 427,218 with GCF Formula

Least Common Multiple of 427,218 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 427,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,218) = 1

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

GCF(427,218) x common factors =1 x 1 = 1

LCM(427,218) = ( 427 × 218 ) / 1

LCM(427,218) = 93086 / 1

LCM(427,218) = 93086


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 154/427, 5232/218

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 154/427, 5232/218?

Answer: GCF of Numerators as per given numbers 154/427, 5232/218 is

GCF of Numerators i.e. for 154,5232 is 2

LCM of denominators i.e. for 427,218 is 93086.

Thus, GCF of Fractions is 2/93086.Finally, GCF of Fractions for 154/427, 5232/218 is 2/93086.