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GCF of 8969/171, 7157/4238

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 8969/171, 7157/4238 i.e 1/724698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8969/171, 7157/4238.

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 8969/171,7157/4238?

Given fractions are 8969/171,7157/4238

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 8969/171,7157/4238, numerators are 8969,7157

Denominators are 171,4238

The GCF of 8969,7157 is 1 .

LCM of 171,4238 is 724698.

The greatest common factor of 8969/171,7157/4238 = [GCF of 8969,7157]/[LCM of 171,4238]= 1/724698

Therefore, the GCF of 8969/171,7157/4238 is 1/724698.

Greatest Common Factor of 8969,7157

To find the highest common factor of 8969,7157, we have to find the factors of both numbers and list the highest common factor.

The factors of 8969 are 1, 8969

The factors of 7157 are 1, 17, 421, 7157

The HCF of 8969,7157 is 1.

Lets's calculate GCF of 8969,7157

Greatest Common Factor (GCF) of 8969,7157 By Common Division

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

Greatest Common Factor of 8969,7157 By Matching Biggest Common Factor Method

Greatest Common Factor of 8969,7157 By Matching Biggest Common Factor Method

Now, list down the factors of 8969

:

1,8969

Now, list down the factors of 7157

:

1,17,421,7157

Greatest Common Factor

We found the factors 8969,7157 . The biggest common factor number is the GCF number.
So the greatest common factor 8969,7157 is 1.

Lets's calculate LCM of 171,4238

Lowest Common Multiple of 171,4238 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 724698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/724698

Therefore, the GCF of Fractions 8969/171,7157/4238 is 1/724698

Least Common Multiple of 171,4238 with GCF Formula

Least Common Multiple of 171,4238 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 171,4238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,4238) = 1

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

GCF(171,4238) x common factors =1 x 1 = 1

LCM(171,4238) = ( 171 × 4238 ) / 1

LCM(171,4238) = 724698 / 1

LCM(171,4238) = 724698


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FAQs on GCF of Fractions of 8969/171, 7157/4238

1. What is the HCF of 8969,7157?

The HCF of 8969,7157 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 8969/171, 7157/4238?

Answer: GCF of Numerators as per given numbers 8969/171, 7157/4238 is

GCF of Numerators i.e. for 8969,7157 is 1

LCM of denominators i.e. for 171,4238 is 724698.

Thus, GCF of Fractions is 1/724698.Finally, GCF of Fractions for 8969/171, 7157/4238 is 1/724698.