Greatest Common Factor of 393/96, 580/84, 704/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 393/96, 580/84, 704/870

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 393/96,580/84,704/870

Given fractions are 393/96,580/84,704/870

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 393,580,704

Greatest Common Factor of Numerators i.e. GCF of 393,580,704 is 1 .

LCM of Denominators means LCM of 96,84,870 as per the given fractions.

LCM of 96,84,870 is 97440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 393,580,704

GCF of Fractions 393/96,580/84,704/870 is 1/97440

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

Greatest Common Factor of 393,580,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,580,704 By Matching Biggest Common Factor Method

Factors of 393

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

1,3,131,393

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 393,580,704 . The biggest common factor number is the GCF number.
So the greatest common factor 393,580,704 is 1.

Lets's calculate LCM of 96,84,870

2 96, 84, 870
2 48, 42, 435
3 24, 21, 435
8, 7, 145

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 7 x 145 = 97440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97440

Therefore, the GCF of Fractions 393/96,580/84,704/870 is 1/97440

Least Common Multiple of 96,84,870 with GCF Formula

Least Common Multiple of 96,84,870 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 96,84,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,84,870) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(96,84,870) x common factors =6 x 12 = 72

LCM(96,84,870) = ( 96 × 84 × 870 ) / 72

LCM(96,84,870) = 7015680 / 72

LCM(96,84,870) = 97440


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 393/96, 580/84, 704/870

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 393/96, 580/84, 704/870?

Answer: GCF of Numerators as per given numbers 393/96, 580/84, 704/870 is

GCF of Numerators i.e. for 393,580,704 is 1

LCM of denominators i.e. for 96,84,870 is 97440.

Thus, GCF of Fractions is 1/97440.Finally, GCF of Fractions for 393/96, 580/84, 704/870 is 1/97440.