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GCF of 2359/658, 9257/1816

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 2359/658, 9257/1816 i.e 1/597464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2359/658, 9257/1816.

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 2359/658,9257/1816?

Given fractions are 2359/658,9257/1816

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 2359/658,9257/1816, numerators are 2359,9257

Denominators are 658,1816

The GCF of 2359,9257 is 1 .

LCM of 658,1816 is 597464.

The greatest common factor of 2359/658,9257/1816 = [GCF of 2359,9257]/[LCM of 658,1816]= 1/597464

Therefore, the GCF of 2359/658,9257/1816 is 1/597464.

Greatest Common Factor of 2359,9257

To find the highest common factor of 2359,9257, we have to find the factors of both numbers and list the highest common factor.

The factors of 2359 are 1, 7, 337, 2359

The factors of 9257 are 1, 9257

The HCF of 2359,9257 is 1.

Lets's calculate GCF of 2359,9257

Greatest Common Factor (GCF) of 2359,9257 By Common Division

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

Greatest Common Factor of 2359,9257 By Matching Biggest Common Factor Method

Greatest Common Factor of 2359,9257 By Matching Biggest Common Factor Method

Now, list down the factors of 2359

:

1,7,337,2359

Now, list down the factors of 9257

:

1,9257

Greatest Common Factor

We found the factors 2359,9257 . The biggest common factor number is the GCF number.
So the greatest common factor 2359,9257 is 1.

Lets's calculate LCM of 658,1816

Lowest Common Multiple of 658,1816 using Common Division

2 658, 1816
329, 908

∴ So the LCM of the given numbers is 2 x 329 x 908 = 597464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/597464

Therefore, the GCF of Fractions 2359/658,9257/1816 is 1/597464

Least Common Multiple of 658,1816 with GCF Formula

Least Common Multiple of 658,1816 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 658,1816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,1816) = 2

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

GCF(658,1816) x common factors =2 x 1 = 2

LCM(658,1816) = ( 658 × 1816 ) / 2

LCM(658,1816) = 1194928 / 2

LCM(658,1816) = 597464


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FAQs on GCF of Fractions of 2359/658, 9257/1816

1. What is the HCF of 2359,9257?

The HCF of 2359,9257 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 2359/658, 9257/1816?

Answer: GCF of Numerators as per given numbers 2359/658, 9257/1816 is

GCF of Numerators i.e. for 2359,9257 is 1

LCM of denominators i.e. for 658,1816 is 597464.

Thus, GCF of Fractions is 1/597464.Finally, GCF of Fractions for 2359/658, 9257/1816 is 1/597464.