Greatest Common Factor of 961/86, 393/73, 489/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 961/86, 393/73, 489/750

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 961/86,393/73,489/750

Given fractions are 961/86,393/73,489/750

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 961,393,489

Greatest Common Factor of Numerators i.e. GCF of 961,393,489 is 1 .

LCM of Denominators means LCM of 86,73,750 as per the given fractions.

LCM of 86,73,750 is 2354250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 961,393,489

GCF of Fractions 961/86,393/73,489/750 is 1/2354250

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

Greatest Common Factor of 961,393,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,393,489 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 961,393,489 . The biggest common factor number is the GCF number.
So the greatest common factor 961,393,489 is 1.

Lets's calculate LCM of 86,73,750

2 86, 73, 750
43, 73, 375

∴ So the LCM of the given numbers is 2 x 43 x 73 x 375 = 2354250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2354250

Therefore, the GCF of Fractions 961/86,393/73,489/750 is 1/2354250

Least Common Multiple of 86,73,750 with GCF Formula

Least Common Multiple of 86,73,750 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 86,73,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,73,750) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,73,750) x common factors =1 x 2 = 2

LCM(86,73,750) = ( 86 × 73 × 750 ) / 2

LCM(86,73,750) = 4708500 / 2

LCM(86,73,750) = 2354250


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 961/86, 393/73, 489/750

1. 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.

2. What is the GCF of Fractions for 961/86, 393/73, 489/750?

Answer: GCF of Numerators as per given numbers 961/86, 393/73, 489/750 is

GCF of Numerators i.e. for 961,393,489 is 1

LCM of denominators i.e. for 86,73,750 is 2354250.

Thus, GCF of Fractions is 1/2354250.Finally, GCF of Fractions for 961/86, 393/73, 489/750 is 1/2354250.