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GCF of 957/78, 231/559

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 957/78, 231/559 i.e 33/3354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/78, 231/559.

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 957/78,231/559?

Given fractions are 957/78,231/559

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 957/78,231/559, numerators are 957,231

Denominators are 78,559

The GCF of 957,231 is 33 .

LCM of 78,559 is 3354.

The greatest common factor of 957/78,231/559 = [GCF of 957,231]/[LCM of 78,559]= 33/3354

Therefore, the GCF of 957/78,231/559 is 33/3354.

Greatest Common Factor of 957,231

To find the highest common factor of 957,231, 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 231 are 1, 3, 7, 11, 21, 33, 77, 231

The HCF of 957,231 is 33.

Lets's calculate GCF of 957,231

Greatest Common Factor (GCF) of 957,231 By Common Division

3 957, 231
11 319, 77
29, 7

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 957,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,231 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 231

:

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 957,231 . The biggest common factor number is the GCF number.
So the greatest common factor 957,231 is 33.

Lets's calculate LCM of 78,559

Lowest Common Multiple of 78,559 using Common Division

13 78, 559
6, 43

∴ So the LCM of the given numbers is 13 x 6 x 43 = 3354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/3354

Therefore, the GCF of Fractions 957/78,231/559 is 33/3354

Least Common Multiple of 78,559 with GCF Formula

Least Common Multiple of 78,559 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 78,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,559) = 13

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

GCF(78,559) x common factors =13 x 1 = 13

LCM(78,559) = ( 78 × 559 ) / 13

LCM(78,559) = 43602 / 13

LCM(78,559) = 3354


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FAQs on GCF of Fractions of 957/78, 231/559

1. What is the HCF of 957,231?

The HCF of 957,231 is 33

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 957/78, 231/559?

Answer: GCF of Numerators as per given numbers 957/78, 231/559 is

GCF of Numerators i.e. for 957,231 is 33

LCM of denominators i.e. for 78,559 is 3354.

Thus, GCF of Fractions is 33/3354.Finally, GCF of Fractions for 957/78, 231/559 is 33/3354.