Greatest Common Factor of 910/88, 252/70, 394/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 910/88, 252/70, 394/81

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 910/88,252/70,394/81

Given fractions are 910/88,252/70,394/81

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 910,252,394

Greatest Common Factor of Numerators i.e. GCF of 910,252,394 is 2 .

LCM of Denominators means LCM of 88,70,81 as per the given fractions.

LCM of 88,70,81 is 249480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 910,252,394

GCF of Fractions 910/88,252/70,394/81 is 2/249480

2 910, 252, 394
455, 126, 197

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

Greatest Common Factor of 910,252,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,252,394 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 910,252,394 . The biggest common factor number is the GCF number.
So the greatest common factor 910,252,394 is 2.

Lets's calculate LCM of 88,70,81

2 88, 70, 81
44, 35, 81

∴ So the LCM of the given numbers is 2 x 44 x 35 x 81 = 249480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/249480

Therefore, the GCF of Fractions 910/88,252/70,394/81 is 2/249480

Least Common Multiple of 88,70,81 with GCF Formula

Least Common Multiple of 88,70,81 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 88,70,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,70,81) = 1

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

GCF(88,70,81) x common factors =1 x 2 = 2

LCM(88,70,81) = ( 88 × 70 × 81 ) / 2

LCM(88,70,81) = 498960 / 2

LCM(88,70,81) = 249480


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 910/88, 252/70, 394/81

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 910/88, 252/70, 394/81?

Answer: GCF of Numerators as per given numbers 910/88, 252/70, 394/81 is

GCF of Numerators i.e. for 910,252,394 is 2

LCM of denominators i.e. for 88,70,81 is 249480.

Thus, GCF of Fractions is 2/249480.Finally, GCF of Fractions for 910/88, 252/70, 394/81 is 2/249480.