How to Find GCF of 915/856, 8938/592?

GCF of 915/856, 8938/592

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 915/856, 8938/592 i.e 1/63344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 915/856, 8938/592.

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 915/856,8938/592?

Given fractions are 915/856,8938/592

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 915/856,8938/592, numerators are 915,8938

Denominators are 856,592

The GCF of 915,8938 is 1 .

LCM of 856,592 is 63344.

The greatest common factor of 915/856,8938/592 = [GCF of 915,8938]/[LCM of 856,592]= 1/63344

Therefore, the GCF of 915/856,8938/592 is 1/63344.

Greatest Common Factor of 915,8938

To find the highest common factor of 915,8938, we have to find the factors of both numbers and list the highest common factor.

The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915

The factors of 8938 are 1, 2, 41, 82, 109, 218, 4469, 8938

The HCF of 915,8938 is 1.

Lets's calculate GCF of 915,8938

Greatest Common Factor (GCF) of 915,8938 By Common Division

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

Greatest Common Factor of 915,8938 By Matching Biggest Common Factor Method

Now, list down the factors of 915

1,3,5,15,61,183,305,915

Now, list down the factors of 8938

1,2,41,82,109,218,4469,8938

Greatest Common Factor

We found the factors 915,8938 . The biggest common factor number is the GCF number.
So the greatest common factor 915,8938 is 1.

Lets's calculate LCM of 856,592

Lowest Common Multiple of 856,592 using Common Division

2	856, 592
2	428, 296
2	214, 148
	107, 74

∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 74 = 63344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63344

Therefore, the GCF of Fractions 915/856,8938/592 is 1/63344

Least Common Multiple of 856,592 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 856,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,592) = 8

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

GCF(856,592) x common factors =8 x 1 = 8

LCM(856,592) = ( 856 × 592 ) / 8

LCM(856,592) = 506752 / 8

LCM(856,592) = 63344

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FAQs on GCF of Fractions of 915/856, 8938/592

1. What is the HCF of 915,8938?

The HCF of 915,8938 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 915/856, 8938/592?

Answer: GCF of Numerators as per given numbers 915/856, 8938/592 is

GCF of Numerators i.e. for 915,8938 is 1

LCM of denominators i.e. for 856,592 is 63344.

Thus, GCF of Fractions is 1/63344.Finally, GCF of Fractions for 915/856, 8938/592 is 1/63344.