How to Find GCF of 8596/374, 7724/2454?

GCF of 8596/374, 7724/2454

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 8596/374, 7724/2454 i.e 4/458898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8596/374, 7724/2454.

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 8596/374,7724/2454?

Given fractions are 8596/374,7724/2454

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 8596/374,7724/2454, numerators are 8596,7724

Denominators are 374,2454

The GCF of 8596,7724 is 4 .

LCM of 374,2454 is 458898.

The greatest common factor of 8596/374,7724/2454 = [GCF of 8596,7724]/[LCM of 374,2454]= 4/458898

Therefore, the GCF of 8596/374,7724/2454 is 4/458898.

Greatest Common Factor of 8596,7724

To find the highest common factor of 8596,7724, we have to find the factors of both numbers and list the highest common factor.

The factors of 8596 are 1, 2, 4, 7, 14, 28, 307, 614, 1228, 2149, 4298, 8596

The factors of 7724 are 1, 2, 4, 1931, 3862, 7724

The HCF of 8596,7724 is 4.

Lets's calculate GCF of 8596,7724

Greatest Common Factor (GCF) of 8596,7724 By Common Division

2	8596, 7724
2	4298, 3862
	2149, 1931

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8596,7724 By Matching Biggest Common Factor Method

Now, list down the factors of 8596

1,2,4,7,14,28,307,614,1228,2149,4298,8596

Now, list down the factors of 7724

1,2,4,1931,3862,7724

Greatest Common Factor

We found the factors 8596,7724 . The biggest common factor number is the GCF number.
So the greatest common factor 8596,7724 is 4.

Lets's calculate LCM of 374,2454

Lowest Common Multiple of 374,2454 using Common Division

2	374, 2454
	187, 1227

∴ So the LCM of the given numbers is 2 x 187 x 1227 = 458898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/458898

Therefore, the GCF of Fractions 8596/374,7724/2454 is 4/458898

Least Common Multiple of 374,2454 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 374,2454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,2454) = 2

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

GCF(374,2454) x common factors =2 x 1 = 2

LCM(374,2454) = ( 374 × 2454 ) / 2

LCM(374,2454) = 917796 / 2

LCM(374,2454) = 458898

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FAQs on GCF of Fractions of 8596/374, 7724/2454

1. What is the HCF of 8596,7724?

The HCF of 8596,7724 is 4

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 8596/374, 7724/2454?

Answer: GCF of Numerators as per given numbers 8596/374, 7724/2454 is

GCF of Numerators i.e. for 8596,7724 is 4

LCM of denominators i.e. for 374,2454 is 458898.

Thus, GCF of Fractions is 4/458898.Finally, GCF of Fractions for 8596/374, 7724/2454 is 4/458898.