How to Find GCF of 3601/797, 7811/941?

GCF of 3601/797, 7811/941

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 3601/797, 7811/941 i.e 1/749977 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3601/797, 7811/941.

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 3601/797,7811/941?

Given fractions are 3601/797,7811/941

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 3601/797,7811/941, numerators are 3601,7811

Denominators are 797,941

The GCF of 3601,7811 is 1 .

LCM of 797,941 is 749977.

The greatest common factor of 3601/797,7811/941 = [GCF of 3601,7811]/[LCM of 797,941]= 1/749977

Therefore, the GCF of 3601/797,7811/941 is 1/749977.

Greatest Common Factor of 3601,7811

To find the highest common factor of 3601,7811, we have to find the factors of both numbers and list the highest common factor.

The factors of 3601 are 1, 13, 277, 3601

The factors of 7811 are 1, 73, 107, 7811

The HCF of 3601,7811 is 1.

Lets's calculate GCF of 3601,7811

Greatest Common Factor (GCF) of 3601,7811 By Common Division

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

Greatest Common Factor of 3601,7811 By Matching Biggest Common Factor Method

Now, list down the factors of 3601

1,13,277,3601

Now, list down the factors of 7811

1,73,107,7811

Greatest Common Factor

We found the factors 3601,7811 . The biggest common factor number is the GCF number.
So the greatest common factor 3601,7811 is 1.

Lets's calculate LCM of 797,941

Lowest Common Multiple of 797,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 749977

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749977

Therefore, the GCF of Fractions 3601/797,7811/941 is 1/749977

Least Common Multiple of 797,941 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 797,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,941) = 1

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

GCF(797,941) x common factors =1 x 1 = 1

LCM(797,941) = ( 797 × 941 ) / 1

LCM(797,941) = 749977 / 1

LCM(797,941) = 749977

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FAQs on GCF of Fractions of 3601/797, 7811/941

1. What is the HCF of 3601,7811?

The HCF of 3601,7811 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 3601/797, 7811/941?

Answer: GCF of Numerators as per given numbers 3601/797, 7811/941 is

GCF of Numerators i.e. for 3601,7811 is 1

LCM of denominators i.e. for 797,941 is 749977.

Thus, GCF of Fractions is 1/749977.Finally, GCF of Fractions for 3601/797, 7811/941 is 1/749977.