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GCF of 641/26, 154/118

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 641/26, 154/118 i.e 1/1534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 641/26, 154/118.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 641/26,154/118?

Given fractions are 641/26,154/118

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 641/26,154/118, numerators are 641,154

Denominators are 26,118

The GCF of 641,154 is 1 .

LCM of 26,118 is 1534.

The greatest common factor of 641/26,154/118 = [GCF of 641,154]/[LCM of 26,118]= 1/1534

Therefore, the GCF of 641/26,154/118 is 1/1534.

Greatest Common Factor of 641,154

To find the highest common factor of 641,154, we have to find the factors of both numbers and list the highest common factor.

The factors of 641 are 1, 641

The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154

The HCF of 641,154 is 1.

Lets's calculate GCF of 641,154

Greatest Common Factor (GCF) of 641,154 By Common Division

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

Greatest Common Factor of 641,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 641,154 By Matching Biggest Common Factor Method

Now, list down the factors of 641

:

1,641

Now, list down the factors of 154

:

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

Greatest Common Factor

We found the factors 641,154 . The biggest common factor number is the GCF number.
So the greatest common factor 641,154 is 1.

Lets's calculate LCM of 26,118

Lowest Common Multiple of 26,118 using Common Division

2 26, 118
13, 59

∴ So the LCM of the given numbers is 2 x 13 x 59 = 1534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1534

Therefore, the GCF of Fractions 641/26,154/118 is 1/1534

Least Common Multiple of 26,118 with GCF Formula

Least Common Multiple of 26,118 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 26,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,118) = 2

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

GCF(26,118) x common factors =2 x 1 = 2

LCM(26,118) = ( 26 × 118 ) / 2

LCM(26,118) = 3068 / 2

LCM(26,118) = 1534


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FAQs on GCF of Fractions of 641/26, 154/118

1. What is the HCF of 641,154?

The HCF of 641,154 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 641/26, 154/118?

Answer: GCF of Numerators as per given numbers 641/26, 154/118 is

GCF of Numerators i.e. for 641,154 is 1

LCM of denominators i.e. for 26,118 is 1534.

Thus, GCF of Fractions is 1/1534.Finally, GCF of Fractions for 641/26, 154/118 is 1/1534.