How to Find GCF of 3961/611, 5611/9087?

GCF of 3961/611, 5611/9087

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 3961/611, 5611/9087 i.e 1/427089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3961/611, 5611/9087.

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 3961/611,5611/9087?

Given fractions are 3961/611,5611/9087

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 3961/611,5611/9087, numerators are 3961,5611

Denominators are 611,9087

The GCF of 3961,5611 is 1 .

LCM of 611,9087 is 427089.

The greatest common factor of 3961/611,5611/9087 = [GCF of 3961,5611]/[LCM of 611,9087]= 1/427089

Therefore, the GCF of 3961/611,5611/9087 is 1/427089.

Greatest Common Factor of 3961,5611

To find the highest common factor of 3961,5611, we have to find the factors of both numbers and list the highest common factor.

The factors of 3961 are 1, 17, 233, 3961

The factors of 5611 are 1, 31, 181, 5611

The HCF of 3961,5611 is 1.

Lets's calculate GCF of 3961,5611

Greatest Common Factor (GCF) of 3961,5611 By Common Division

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

Greatest Common Factor of 3961,5611 By Matching Biggest Common Factor Method

Now, list down the factors of 3961

1,17,233,3961

Now, list down the factors of 5611

1,31,181,5611

Greatest Common Factor

We found the factors 3961,5611 . The biggest common factor number is the GCF number.
So the greatest common factor 3961,5611 is 1.

Lets's calculate LCM of 611,9087

Lowest Common Multiple of 611,9087 using Common Division

13	611, 9087
	47, 699

∴ So the LCM of the given numbers is 13 x 47 x 699 = 427089

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/427089

Therefore, the GCF of Fractions 3961/611,5611/9087 is 1/427089

Least Common Multiple of 611,9087 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 611,9087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,9087) = 13

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

GCF(611,9087) x common factors =13 x 1 = 13

LCM(611,9087) = ( 611 × 9087 ) / 13

LCM(611,9087) = 5552157 / 13

LCM(611,9087) = 427089

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FAQs on GCF of Fractions of 3961/611, 5611/9087

1. What is the HCF of 3961,5611?

The HCF of 3961,5611 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 3961/611, 5611/9087?

Answer: GCF of Numerators as per given numbers 3961/611, 5611/9087 is

GCF of Numerators i.e. for 3961,5611 is 1

LCM of denominators i.e. for 611,9087 is 427089.

Thus, GCF of Fractions is 1/427089.Finally, GCF of Fractions for 3961/611, 5611/9087 is 1/427089.