How to Find GCF of 9172/112, 5215/8718?

GCF of 9172/112, 5215/8718

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 9172/112, 5215/8718 i.e 1/488208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9172/112, 5215/8718.

Enter two or more fractions separated by "commas"

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

What is the GCF of 9172/112,5215/8718?

Given fractions are 9172/112,5215/8718

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 9172/112,5215/8718, numerators are 9172,5215

Denominators are 112,8718

The GCF of 9172,5215 is 1 .

LCM of 112,8718 is 488208.

The greatest common factor of 9172/112,5215/8718 = [GCF of 9172,5215]/[LCM of 112,8718]= 1/488208

Therefore, the GCF of 9172/112,5215/8718 is 1/488208.

Greatest Common Factor of 9172,5215

To find the highest common factor of 9172,5215, we have to find the factors of both numbers and list the highest common factor.

The factors of 9172 are 1, 2, 4, 2293, 4586, 9172

The factors of 5215 are 1, 5, 7, 35, 149, 745, 1043, 5215

The HCF of 9172,5215 is 1.

Lets's calculate GCF of 9172,5215

Greatest Common Factor (GCF) of 9172,5215 By Common Division

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

Greatest Common Factor of 9172,5215 By Matching Biggest Common Factor Method

Now, list down the factors of 9172

1,2,4,2293,4586,9172

Now, list down the factors of 5215

1,5,7,35,149,745,1043,5215

Greatest Common Factor

We found the factors 9172,5215 . The biggest common factor number is the GCF number.
So the greatest common factor 9172,5215 is 1.

Lets's calculate LCM of 112,8718

Lowest Common Multiple of 112,8718 using Common Division

2	112, 8718
	56, 4359

∴ So the LCM of the given numbers is 2 x 56 x 4359 = 488208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/488208

Therefore, the GCF of Fractions 9172/112,5215/8718 is 1/488208

Least Common Multiple of 112,8718 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 112,8718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,8718) = 2

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

GCF(112,8718) x common factors =2 x 1 = 2

LCM(112,8718) = ( 112 × 8718 ) / 2

LCM(112,8718) = 976416 / 2

LCM(112,8718) = 488208

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FAQs on GCF of Fractions of 9172/112, 5215/8718

1. What is the HCF of 9172,5215?

The HCF of 9172,5215 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 9172/112, 5215/8718?

Answer: GCF of Numerators as per given numbers 9172/112, 5215/8718 is

GCF of Numerators i.e. for 9172,5215 is 1

LCM of denominators i.e. for 112,8718 is 488208.

Thus, GCF of Fractions is 1/488208.Finally, GCF of Fractions for 9172/112, 5215/8718 is 1/488208.