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GCF of 117/496, 2237/108

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 117/496, 2237/108 i.e 1/13392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 117/496, 2237/108.

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 117/496,2237/108?

Given fractions are 117/496,2237/108

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 117/496,2237/108, numerators are 117,2237

Denominators are 496,108

The GCF of 117,2237 is 1 .

LCM of 496,108 is 13392.

The greatest common factor of 117/496,2237/108 = [GCF of 117,2237]/[LCM of 496,108]= 1/13392

Therefore, the GCF of 117/496,2237/108 is 1/13392.

Greatest Common Factor of 117,2237

To find the highest common factor of 117,2237, we have to find the factors of both numbers and list the highest common factor.

The factors of 117 are 1, 3, 9, 13, 39, 117

The factors of 2237 are 1, 2237

The HCF of 117,2237 is 1.

Lets's calculate GCF of 117,2237

Greatest Common Factor (GCF) of 117,2237 By Common Division

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

Greatest Common Factor of 117,2237 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,2237 By Matching Biggest Common Factor Method

Now, list down the factors of 117

:

1,3,9,13,39,117

Now, list down the factors of 2237

:

1,2237

Greatest Common Factor

We found the factors 117,2237 . The biggest common factor number is the GCF number.
So the greatest common factor 117,2237 is 1.

Lets's calculate LCM of 496,108

Lowest Common Multiple of 496,108 using Common Division

2 496, 108
2 248, 54
124, 27

∴ So the LCM of the given numbers is 2 x 2 x 124 x 27 = 13392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13392

Therefore, the GCF of Fractions 117/496,2237/108 is 1/13392

Least Common Multiple of 496,108 with GCF Formula

Least Common Multiple of 496,108 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 496,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,108) = 4

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

GCF(496,108) x common factors =4 x 1 = 4

LCM(496,108) = ( 496 × 108 ) / 4

LCM(496,108) = 53568 / 4

LCM(496,108) = 13392


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FAQs on GCF of Fractions of 117/496, 2237/108

1. What is the HCF of 117,2237?

The HCF of 117,2237 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 117/496, 2237/108?

Answer: GCF of Numerators as per given numbers 117/496, 2237/108 is

GCF of Numerators i.e. for 117,2237 is 1

LCM of denominators i.e. for 496,108 is 13392.

Thus, GCF of Fractions is 1/13392.Finally, GCF of Fractions for 117/496, 2237/108 is 1/13392.