How to Find GCF of 2124/566, 4657/5941?

GCF of 2124/566, 4657/5941

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 2124/566, 4657/5941 i.e 1/3362606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2124/566, 4657/5941.

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 2124/566,4657/5941?

Given fractions are 2124/566,4657/5941

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 2124/566,4657/5941, numerators are 2124,4657

Denominators are 566,5941

The GCF of 2124,4657 is 1 .

LCM of 566,5941 is 3362606.

The greatest common factor of 2124/566,4657/5941 = [GCF of 2124,4657]/[LCM of 566,5941]= 1/3362606

Therefore, the GCF of 2124/566,4657/5941 is 1/3362606.

Greatest Common Factor of 2124,4657

To find the highest common factor of 2124,4657, we have to find the factors of both numbers and list the highest common factor.

The factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124

The factors of 4657 are 1, 4657

The HCF of 2124,4657 is 1.

Lets's calculate GCF of 2124,4657

Greatest Common Factor (GCF) of 2124,4657 By Common Division

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

Greatest Common Factor of 2124,4657 By Matching Biggest Common Factor Method

Now, list down the factors of 2124

1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124

Now, list down the factors of 4657

1,4657

Greatest Common Factor

We found the factors 2124,4657 . The biggest common factor number is the GCF number.
So the greatest common factor 2124,4657 is 1.

Lets's calculate LCM of 566,5941

Lowest Common Multiple of 566,5941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3362606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3362606

Therefore, the GCF of Fractions 2124/566,4657/5941 is 1/3362606

Least Common Multiple of 566,5941 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 566,5941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,5941) = 1

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

GCF(566,5941) x common factors =1 x 1 = 1

LCM(566,5941) = ( 566 × 5941 ) / 1

LCM(566,5941) = 3362606 / 1

LCM(566,5941) = 3362606

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2124/566, 4657/5941

1. What is the HCF of 2124,4657?

The HCF of 2124,4657 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 2124/566, 4657/5941?

Answer: GCF of Numerators as per given numbers 2124/566, 4657/5941 is

GCF of Numerators i.e. for 2124,4657 is 1

LCM of denominators i.e. for 566,5941 is 3362606.

Thus, GCF of Fractions is 1/3362606.Finally, GCF of Fractions for 2124/566, 4657/5941 is 1/3362606.