Greatest Common Factor of 966/87, 464/23, 274/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 966/87, 464/23, 274/373

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 966/87,464/23,274/373

Given fractions are 966/87,464/23,274/373

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 966,464,274

Greatest Common Factor of Numerators i.e. GCF of 966,464,274 is 2 .

LCM of Denominators means LCM of 87,23,373 as per the given fractions.

LCM of 87,23,373 is 746373 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 966,464,274

GCF of Fractions 966/87,464/23,274/373 is 2/746373

2 966, 464, 274
483, 232, 137

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 966,464,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,464,274 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 966,464,274 . The biggest common factor number is the GCF number.
So the greatest common factor 966,464,274 is 2.

Lets's calculate LCM of 87,23,373

Given numbers has no common factors except 1. So, there LCM is their product i.e 746373

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/746373

Therefore, the GCF of Fractions 966/87,464/23,274/373 is 2/746373

Least Common Multiple of 87,23,373 with GCF Formula

Least Common Multiple of 87,23,373 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 87,23,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,23,373) = 1

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

GCF(87,23,373) x common factors =1 x 1 = 1

LCM(87,23,373) = ( 87 × 23 × 373 ) / 1

LCM(87,23,373) = 746373 / 1

LCM(87,23,373) = 746373


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 966/87, 464/23, 274/373

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 966/87, 464/23, 274/373?

Answer: GCF of Numerators as per given numbers 966/87, 464/23, 274/373 is

GCF of Numerators i.e. for 966,464,274 is 2

LCM of denominators i.e. for 87,23,373 is 746373.

Thus, GCF of Fractions is 2/746373.Finally, GCF of Fractions for 966/87, 464/23, 274/373 is 2/746373.