Greatest Common Factor of 790/975, 589/146, 154/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 790/975, 589/146, 154/580

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 790/975,589/146,154/580

Given fractions are 790/975,589/146,154/580

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 790,589,154

Greatest Common Factor of Numerators i.e. GCF of 790,589,154 is 1 .

LCM of Denominators means LCM of 975,146,580 as per the given fractions.

LCM of 975,146,580 is 8256300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 790,589,154

GCF of Fractions 790/975,589/146,154/580 is 1/8256300

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

Greatest Common Factor of 790,589,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,589,154 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 790,589,154 . The biggest common factor number is the GCF number.
So the greatest common factor 790,589,154 is 1.

Lets's calculate LCM of 975,146,580

2 975, 146, 580
5 975, 73, 290
195, 73, 58

∴ So the LCM of the given numbers is 2 x 5 x 195 x 73 x 58 = 8256300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8256300

Therefore, the GCF of Fractions 790/975,589/146,154/580 is 1/8256300

Least Common Multiple of 975,146,580 with GCF Formula

Least Common Multiple of 975,146,580 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 975,146,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,146,580) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(975,146,580) x common factors =1 x 10 = 10

LCM(975,146,580) = ( 975 × 146 × 580 ) / 10

LCM(975,146,580) = 82563000 / 10

LCM(975,146,580) = 8256300


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 790/975, 589/146, 154/580

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 790/975, 589/146, 154/580?

Answer: GCF of Numerators as per given numbers 790/975, 589/146, 154/580 is

GCF of Numerators i.e. for 790,589,154 is 1

LCM of denominators i.e. for 975,146,580 is 8256300.

Thus, GCF of Fractions is 1/8256300.Finally, GCF of Fractions for 790/975, 589/146, 154/580 is 1/8256300.