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GCF of 2524/160, 2293/464

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 2524/160, 2293/464 i.e 1/4640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2524/160, 2293/464.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2524/160,2293/464?

Given fractions are 2524/160,2293/464

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 2524/160,2293/464, numerators are 2524,2293

Denominators are 160,464

The GCF of 2524,2293 is 1 .

LCM of 160,464 is 4640.

The greatest common factor of 2524/160,2293/464 = [GCF of 2524,2293]/[LCM of 160,464]= 1/4640

Therefore, the GCF of 2524/160,2293/464 is 1/4640.

Greatest Common Factor of 2524,2293

To find the highest common factor of 2524,2293, we have to find the factors of both numbers and list the highest common factor.

The factors of 2524 are 1, 2, 4, 631, 1262, 2524

The factors of 2293 are 1, 2293

The HCF of 2524,2293 is 1.

Lets's calculate GCF of 2524,2293

Greatest Common Factor (GCF) of 2524,2293 By Common Division

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

Greatest Common Factor of 2524,2293 By Matching Biggest Common Factor Method

Greatest Common Factor of 2524,2293 By Matching Biggest Common Factor Method

Now, list down the factors of 2524

:

1,2,4,631,1262,2524

Now, list down the factors of 2293

:

1,2293

Greatest Common Factor

We found the factors 2524,2293 . The biggest common factor number is the GCF number.
So the greatest common factor 2524,2293 is 1.

Lets's calculate LCM of 160,464

Lowest Common Multiple of 160,464 using Common Division

2 160, 464
2 80, 232
2 40, 116
2 20, 58
10, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 10 x 29 = 4640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4640

Therefore, the GCF of Fractions 2524/160,2293/464 is 1/4640

Least Common Multiple of 160,464 with GCF Formula

Least Common Multiple of 160,464 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 160,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,464) = 16

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

GCF(160,464) x common factors =16 x 1 = 16

LCM(160,464) = ( 160 × 464 ) / 16

LCM(160,464) = 74240 / 16

LCM(160,464) = 4640


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FAQs on GCF of Fractions of 2524/160, 2293/464

1. What is the HCF of 2524,2293?

The HCF of 2524,2293 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 2524/160, 2293/464?

Answer: GCF of Numerators as per given numbers 2524/160, 2293/464 is

GCF of Numerators i.e. for 2524,2293 is 1

LCM of denominators i.e. for 160,464 is 4640.

Thus, GCF of Fractions is 1/4640.Finally, GCF of Fractions for 2524/160, 2293/464 is 1/4640.