How to Find GCF of 918/72, 841/8737?

GCF of 918/72, 841/8737

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 918/72, 841/8737 i.e 1/629064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 918/72, 841/8737.

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 918/72,841/8737?

Given fractions are 918/72,841/8737

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 918/72,841/8737, numerators are 918,841

Denominators are 72,8737

The GCF of 918,841 is 1 .

LCM of 72,8737 is 629064.

The greatest common factor of 918/72,841/8737 = [GCF of 918,841]/[LCM of 72,8737]= 1/629064

Therefore, the GCF of 918/72,841/8737 is 1/629064.

Greatest Common Factor of 918,841

To find the highest common factor of 918,841, we have to find the factors of both numbers and list the highest common factor.

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The factors of 841 are 1, 29, 841

The HCF of 918,841 is 1.

Lets's calculate GCF of 918,841

Greatest Common Factor (GCF) of 918,841 By Common Division

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

Greatest Common Factor of 918,841 By Matching Biggest Common Factor Method

Now, list down the factors of 918

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Now, list down the factors of 841

1,29,841

Greatest Common Factor

We found the factors 918,841 . The biggest common factor number is the GCF number.
So the greatest common factor 918,841 is 1.

Lets's calculate LCM of 72,8737

Lowest Common Multiple of 72,8737 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 629064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/629064

Therefore, the GCF of Fractions 918/72,841/8737 is 1/629064

Least Common Multiple of 72,8737 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 72,8737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,8737) = 1

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

GCF(72,8737) x common factors =1 x 1 = 1

LCM(72,8737) = ( 72 × 8737 ) / 1

LCM(72,8737) = 629064 / 1

LCM(72,8737) = 629064

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FAQs on GCF of Fractions of 918/72, 841/8737

1. What is the HCF of 918,841?

The HCF of 918,841 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 918/72, 841/8737?

Answer: GCF of Numerators as per given numbers 918/72, 841/8737 is

GCF of Numerators i.e. for 918,841 is 1

LCM of denominators i.e. for 72,8737 is 629064.

Thus, GCF of Fractions is 1/629064.Finally, GCF of Fractions for 918/72, 841/8737 is 1/629064.