Greatest Common Factor of 25/74, 66/33, 377/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/74, 66/33, 377/231

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 25/74,66/33,377/231

Given fractions are 25/74,66/33,377/231

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 25,66,377

Greatest Common Factor of Numerators i.e. GCF of 25,66,377 is 1 .

LCM of Denominators means LCM of 74,33,231 as per the given fractions.

LCM of 74,33,231 is 17094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,66,377

GCF of Fractions 25/74,66/33,377/231 is 1/17094

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

Greatest Common Factor of 25,66,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,66,377 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 25,66,377 . The biggest common factor number is the GCF number.
So the greatest common factor 25,66,377 is 1.

Lets's calculate LCM of 74,33,231

3 74, 33, 231
11 74, 11, 77
74, 1, 7

∴ So the LCM of the given numbers is 3 x 11 x 74 x 1 x 7 = 17094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17094

Therefore, the GCF of Fractions 25/74,66/33,377/231 is 1/17094

Least Common Multiple of 74,33,231 with GCF Formula

Least Common Multiple of 74,33,231 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 74,33,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,33,231) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(74,33,231) x common factors =1 x 33 = 33

LCM(74,33,231) = ( 74 × 33 × 231 ) / 33

LCM(74,33,231) = 564102 / 33

LCM(74,33,231) = 17094


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 25/74, 66/33, 377/231

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 25/74, 66/33, 377/231?

Answer: GCF of Numerators as per given numbers 25/74, 66/33, 377/231 is

GCF of Numerators i.e. for 25,66,377 is 1

LCM of denominators i.e. for 74,33,231 is 17094.

Thus, GCF of Fractions is 1/17094.Finally, GCF of Fractions for 25/74, 66/33, 377/231 is 1/17094.