How to Find GCF of 4661/601, 6684/687?

GCF of 4661/601, 6684/687

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 4661/601, 6684/687 i.e 1/412887 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4661/601, 6684/687.

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 4661/601,6684/687?

Given fractions are 4661/601,6684/687

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 4661/601,6684/687, numerators are 4661,6684

Denominators are 601,687

The GCF of 4661,6684 is 1 .

LCM of 601,687 is 412887.

The greatest common factor of 4661/601,6684/687 = [GCF of 4661,6684]/[LCM of 601,687]= 1/412887

Therefore, the GCF of 4661/601,6684/687 is 1/412887.

Greatest Common Factor of 4661,6684

To find the highest common factor of 4661,6684, we have to find the factors of both numbers and list the highest common factor.

The factors of 4661 are 1, 59, 79, 4661

The factors of 6684 are 1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684

The HCF of 4661,6684 is 1.

Lets's calculate GCF of 4661,6684

Greatest Common Factor (GCF) of 4661,6684 By Common Division

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

Greatest Common Factor of 4661,6684 By Matching Biggest Common Factor Method

Now, list down the factors of 4661

1,59,79,4661

Now, list down the factors of 6684

1,2,3,4,6,12,557,1114,1671,2228,3342,6684

Greatest Common Factor

We found the factors 4661,6684 . The biggest common factor number is the GCF number.
So the greatest common factor 4661,6684 is 1.

Lets's calculate LCM of 601,687

Lowest Common Multiple of 601,687 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 412887

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412887

Therefore, the GCF of Fractions 4661/601,6684/687 is 1/412887

Least Common Multiple of 601,687 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 601,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,687) = 1

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

GCF(601,687) x common factors =1 x 1 = 1

LCM(601,687) = ( 601 × 687 ) / 1

LCM(601,687) = 412887 / 1

LCM(601,687) = 412887

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FAQs on GCF of Fractions of 4661/601, 6684/687

1. What is the HCF of 4661,6684?

The HCF of 4661,6684 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 4661/601, 6684/687?

Answer: GCF of Numerators as per given numbers 4661/601, 6684/687 is

GCF of Numerators i.e. for 4661,6684 is 1

LCM of denominators i.e. for 601,687 is 412887.

Thus, GCF of Fractions is 1/412887.Finally, GCF of Fractions for 4661/601, 6684/687 is 1/412887.