How to Find GCF of 6261/247, 4867/466?

GCF of 6261/247, 4867/466

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 6261/247, 4867/466 i.e 1/115102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6261/247, 4867/466.

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 6261/247,4867/466?

Given fractions are 6261/247,4867/466

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 6261/247,4867/466, numerators are 6261,4867

Denominators are 247,466

The GCF of 6261,4867 is 1 .

LCM of 247,466 is 115102.

The greatest common factor of 6261/247,4867/466 = [GCF of 6261,4867]/[LCM of 247,466]= 1/115102

Therefore, the GCF of 6261/247,4867/466 is 1/115102.

Greatest Common Factor of 6261,4867

To find the highest common factor of 6261,4867, we have to find the factors of both numbers and list the highest common factor.

The factors of 6261 are 1, 3, 2087, 6261

The factors of 4867 are 1, 31, 157, 4867

The HCF of 6261,4867 is 1.

Lets's calculate GCF of 6261,4867

Greatest Common Factor (GCF) of 6261,4867 By Common Division

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

Greatest Common Factor of 6261,4867 By Matching Biggest Common Factor Method

Now, list down the factors of 6261

1,3,2087,6261

Now, list down the factors of 4867

1,31,157,4867

Greatest Common Factor

We found the factors 6261,4867 . The biggest common factor number is the GCF number.
So the greatest common factor 6261,4867 is 1.

Lets's calculate LCM of 247,466

Lowest Common Multiple of 247,466 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 115102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115102

Therefore, the GCF of Fractions 6261/247,4867/466 is 1/115102

Least Common Multiple of 247,466 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 247,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,466) = 1

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

GCF(247,466) x common factors =1 x 1 = 1

LCM(247,466) = ( 247 × 466 ) / 1

LCM(247,466) = 115102 / 1

LCM(247,466) = 115102

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FAQs on GCF of Fractions of 6261/247, 4867/466

1. What is the HCF of 6261,4867?

The HCF of 6261,4867 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 6261/247, 4867/466?

Answer: GCF of Numerators as per given numbers 6261/247, 4867/466 is

GCF of Numerators i.e. for 6261,4867 is 1

LCM of denominators i.e. for 247,466 is 115102.

Thus, GCF of Fractions is 1/115102.Finally, GCF of Fractions for 6261/247, 4867/466 is 1/115102.