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GCF of 108/73, 872/264

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 108/73, 872/264 i.e 4/19272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 108/73, 872/264.

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 108/73,872/264?

Given fractions are 108/73,872/264

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 108/73,872/264, numerators are 108,872

Denominators are 73,264

The GCF of 108,872 is 4 .

LCM of 73,264 is 19272.

The greatest common factor of 108/73,872/264 = [GCF of 108,872]/[LCM of 73,264]= 4/19272

Therefore, the GCF of 108/73,872/264 is 4/19272.

Greatest Common Factor of 108,872

To find the highest common factor of 108,872, we have to find the factors of both numbers and list the highest common factor.

The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872

The HCF of 108,872 is 4.

Lets's calculate GCF of 108,872

Greatest Common Factor (GCF) of 108,872 By Common Division

2 108, 872
2 54, 436
27, 218

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 108,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,872 By Matching Biggest Common Factor Method

Now, list down the factors of 108

:

1,2,3,4,6,9,12,18,27,36,54,108

Now, list down the factors of 872

:

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 108,872 . The biggest common factor number is the GCF number.
So the greatest common factor 108,872 is 4.

Lets's calculate LCM of 73,264

Lowest Common Multiple of 73,264 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 19272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/19272

Therefore, the GCF of Fractions 108/73,872/264 is 4/19272

Least Common Multiple of 73,264 with GCF Formula

Least Common Multiple of 73,264 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 73,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,264) = 1

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

GCF(73,264) x common factors =1 x 1 = 1

LCM(73,264) = ( 73 × 264 ) / 1

LCM(73,264) = 19272 / 1

LCM(73,264) = 19272


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FAQs on GCF of Fractions of 108/73, 872/264

1. What is the HCF of 108,872?

The HCF of 108,872 is 4

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 108/73, 872/264?

Answer: GCF of Numerators as per given numbers 108/73, 872/264 is

GCF of Numerators i.e. for 108,872 is 4

LCM of denominators i.e. for 73,264 is 19272.

Thus, GCF of Fractions is 4/19272.Finally, GCF of Fractions for 108/73, 872/264 is 4/19272.