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GCF of 918/158, 131/532

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 918/158, 131/532 i.e 1/42028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 918/158, 131/532.

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 918/158,131/532?

Given fractions are 918/158,131/532

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 918/158,131/532, numerators are 918,131

Denominators are 158,532

The GCF of 918,131 is 1 .

LCM of 158,532 is 42028.

The greatest common factor of 918/158,131/532 = [GCF of 918,131]/[LCM of 158,532]= 1/42028

Therefore, the GCF of 918/158,131/532 is 1/42028.

Greatest Common Factor of 918,131

To find the highest common factor of 918,131, we have to find the factors of both numbers and list the highest common factor.

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The factors of 131 are 1, 131

The HCF of 918,131 is 1.

Lets's calculate GCF of 918,131

Greatest Common Factor (GCF) of 918,131 By Common Division

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

Greatest Common Factor of 918,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,131 By Matching Biggest Common Factor Method

Now, list down the factors of 918

:

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Now, list down the factors of 131

:

1,131

Greatest Common Factor

We found the factors 918,131 . The biggest common factor number is the GCF number.
So the greatest common factor 918,131 is 1.

Lets's calculate LCM of 158,532

Lowest Common Multiple of 158,532 using Common Division

2 158, 532
79, 266

∴ So the LCM of the given numbers is 2 x 79 x 266 = 42028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42028

Therefore, the GCF of Fractions 918/158,131/532 is 1/42028

Least Common Multiple of 158,532 with GCF Formula

Least Common Multiple of 158,532 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 158,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,532) = 2

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

GCF(158,532) x common factors =2 x 1 = 2

LCM(158,532) = ( 158 × 532 ) / 2

LCM(158,532) = 84056 / 2

LCM(158,532) = 42028


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FAQs on GCF of Fractions of 918/158, 131/532

1. What is the HCF of 918,131?

The HCF of 918,131 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 918/158, 131/532?

Answer: GCF of Numerators as per given numbers 918/158, 131/532 is

GCF of Numerators i.e. for 918,131 is 1

LCM of denominators i.e. for 158,532 is 42028.

Thus, GCF of Fractions is 1/42028.Finally, GCF of Fractions for 918/158, 131/532 is 1/42028.