How to Find GCF of 4741/991, 5451/6701?

GCF of 4741/991, 5451/6701

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 4741/991, 5451/6701 i.e 1/6640691 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4741/991, 5451/6701.

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 4741/991,5451/6701?

Given fractions are 4741/991,5451/6701

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 4741/991,5451/6701, numerators are 4741,5451

Denominators are 991,6701

The GCF of 4741,5451 is 1 .

LCM of 991,6701 is 6640691.

The greatest common factor of 4741/991,5451/6701 = [GCF of 4741,5451]/[LCM of 991,6701]= 1/6640691

Therefore, the GCF of 4741/991,5451/6701 is 1/6640691.

Greatest Common Factor of 4741,5451

To find the highest common factor of 4741,5451, we have to find the factors of both numbers and list the highest common factor.

The factors of 4741 are 1, 11, 431, 4741

The factors of 5451 are 1, 3, 23, 69, 79, 237, 1817, 5451

The HCF of 4741,5451 is 1.

Lets's calculate GCF of 4741,5451

Greatest Common Factor (GCF) of 4741,5451 By Common Division

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

Greatest Common Factor of 4741,5451 By Matching Biggest Common Factor Method

Now, list down the factors of 4741

1,11,431,4741

Now, list down the factors of 5451

1,3,23,69,79,237,1817,5451

Greatest Common Factor

We found the factors 4741,5451 . The biggest common factor number is the GCF number.
So the greatest common factor 4741,5451 is 1.

Lets's calculate LCM of 991,6701

Lowest Common Multiple of 991,6701 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6640691

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6640691

Therefore, the GCF of Fractions 4741/991,5451/6701 is 1/6640691

Least Common Multiple of 991,6701 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 991,6701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,6701) = 1

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

GCF(991,6701) x common factors =1 x 1 = 1

LCM(991,6701) = ( 991 × 6701 ) / 1

LCM(991,6701) = 6640691 / 1

LCM(991,6701) = 6640691

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FAQs on GCF of Fractions of 4741/991, 5451/6701

1. What is the HCF of 4741,5451?

The HCF of 4741,5451 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 4741/991, 5451/6701?

Answer: GCF of Numerators as per given numbers 4741/991, 5451/6701 is

GCF of Numerators i.e. for 4741,5451 is 1

LCM of denominators i.e. for 991,6701 is 6640691.

Thus, GCF of Fractions is 1/6640691.Finally, GCF of Fractions for 4741/991, 5451/6701 is 1/6640691.