How to Find GCF of 3954/661, 4757/681?

GCF of 3954/661, 4757/681

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 3954/661, 4757/681 i.e 1/450141 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3954/661, 4757/681.

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 3954/661,4757/681?

Given fractions are 3954/661,4757/681

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 3954/661,4757/681, numerators are 3954,4757

Denominators are 661,681

The GCF of 3954,4757 is 1 .

LCM of 661,681 is 450141.

The greatest common factor of 3954/661,4757/681 = [GCF of 3954,4757]/[LCM of 661,681]= 1/450141

Therefore, the GCF of 3954/661,4757/681 is 1/450141.

Greatest Common Factor of 3954,4757

To find the highest common factor of 3954,4757, we have to find the factors of both numbers and list the highest common factor.

The factors of 3954 are 1, 2, 3, 6, 659, 1318, 1977, 3954

The factors of 4757 are 1, 67, 71, 4757

The HCF of 3954,4757 is 1.

Lets's calculate GCF of 3954,4757

Greatest Common Factor (GCF) of 3954,4757 By Common Division

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

Greatest Common Factor of 3954,4757 By Matching Biggest Common Factor Method

Now, list down the factors of 3954

1,2,3,6,659,1318,1977,3954

Now, list down the factors of 4757

1,67,71,4757

Greatest Common Factor

We found the factors 3954,4757 . The biggest common factor number is the GCF number.
So the greatest common factor 3954,4757 is 1.

Lets's calculate LCM of 661,681

Lowest Common Multiple of 661,681 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 450141

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/450141

Therefore, the GCF of Fractions 3954/661,4757/681 is 1/450141

Least Common Multiple of 661,681 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 661,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,681) = 1

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

GCF(661,681) x common factors =1 x 1 = 1

LCM(661,681) = ( 661 × 681 ) / 1

LCM(661,681) = 450141 / 1

LCM(661,681) = 450141

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3954/661, 4757/681

1. What is the HCF of 3954,4757?

The HCF of 3954,4757 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 3954/661, 4757/681?

Answer: GCF of Numerators as per given numbers 3954/661, 4757/681 is

GCF of Numerators i.e. for 3954,4757 is 1

LCM of denominators i.e. for 661,681 is 450141.

Thus, GCF of Fractions is 1/450141.Finally, GCF of Fractions for 3954/661, 4757/681 is 1/450141.