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GCF of 957/460, 359/350

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 957/460, 359/350 i.e 1/16100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/460, 359/350.

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 957/460,359/350?

Given fractions are 957/460,359/350

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 957/460,359/350, numerators are 957,359

Denominators are 460,350

The GCF of 957,359 is 1 .

LCM of 460,350 is 16100.

The greatest common factor of 957/460,359/350 = [GCF of 957,359]/[LCM of 460,350]= 1/16100

Therefore, the GCF of 957/460,359/350 is 1/16100.

Greatest Common Factor of 957,359

To find the highest common factor of 957,359, we have to find the factors of both numbers and list the highest common factor.

The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957

The factors of 359 are 1, 359

The HCF of 957,359 is 1.

Lets's calculate GCF of 957,359

Greatest Common Factor (GCF) of 957,359 By Common Division

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

Greatest Common Factor of 957,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,359 By Matching Biggest Common Factor Method

Now, list down the factors of 957

:

1,3,11,29,33,87,319,957

Now, list down the factors of 359

:

1,359

Greatest Common Factor

We found the factors 957,359 . The biggest common factor number is the GCF number.
So the greatest common factor 957,359 is 1.

Lets's calculate LCM of 460,350

Lowest Common Multiple of 460,350 using Common Division

2 460, 350
5 230, 175
46, 35

∴ So the LCM of the given numbers is 2 x 5 x 46 x 35 = 16100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16100

Therefore, the GCF of Fractions 957/460,359/350 is 1/16100

Least Common Multiple of 460,350 with GCF Formula

Least Common Multiple of 460,350 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 460,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,350) = 10

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

GCF(460,350) x common factors =10 x 1 = 10

LCM(460,350) = ( 460 × 350 ) / 10

LCM(460,350) = 161000 / 10

LCM(460,350) = 16100


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FAQs on GCF of Fractions of 957/460, 359/350

1. What is the HCF of 957,359?

The HCF of 957,359 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 957/460, 359/350?

Answer: GCF of Numerators as per given numbers 957/460, 359/350 is

GCF of Numerators i.e. for 957,359 is 1

LCM of denominators i.e. for 460,350 is 16100.

Thus, GCF of Fractions is 1/16100.Finally, GCF of Fractions for 957/460, 359/350 is 1/16100.