Greatest Common Factor of 154/674, 6052/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 154/674, 6052/251

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 154/674,6052/251

Given fractions are 154/674,6052/251

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 154,6052

Greatest Common Factor of Numerators i.e. GCF of 154,6052 is 2 .

LCM of Denominators means LCM of 674,251 as per the given fractions.

LCM of 674,251 is 169174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 154,6052

GCF of Fractions 154/674,6052/251 is 2/169174

2 154, 6052
77, 3026

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

Greatest Common Factor of 154,6052 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,6052 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 6052

List of positive integer factors of 6052 that divides 6052 without a remainder.

1,2,4,17,34,68,89,178,356,1513,3026,6052

Greatest Common Factor

We found the factors 154,6052 . The biggest common factor number is the GCF number.
So the greatest common factor 154,6052 is 2.

Lets's calculate LCM of 674,251

Given numbers has no common factors except 1. So, there LCM is their product i.e 169174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/169174

Therefore, the GCF of Fractions 154/674,6052/251 is 2/169174

Least Common Multiple of 674,251 with GCF Formula

Least Common Multiple of 674,251 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 674,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,251) = 1

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

GCF(674,251) x common factors =1 x 1 = 1

LCM(674,251) = ( 674 × 251 ) / 1

LCM(674,251) = 169174 / 1

LCM(674,251) = 169174


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 154/674, 6052/251

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 154/674, 6052/251?

Answer: GCF of Numerators as per given numbers 154/674, 6052/251 is

GCF of Numerators i.e. for 154,6052 is 2

LCM of denominators i.e. for 674,251 is 169174.

Thus, GCF of Fractions is 2/169174.Finally, GCF of Fractions for 154/674, 6052/251 is 2/169174.