Greatest Common Factor of 520/43, 102/97, 719/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 520/43, 102/97, 719/589

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 520/43,102/97,719/589

Given fractions are 520/43,102/97,719/589

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 520,102,719

Greatest Common Factor of Numerators i.e. GCF of 520,102,719 is 1 .

LCM of Denominators means LCM of 43,97,589 as per the given fractions.

LCM of 43,97,589 is 2456719 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 520,102,719

GCF of Fractions 520/43,102/97,719/589 is 1/2456719

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

Greatest Common Factor of 520,102,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,102,719 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 520,102,719 . The biggest common factor number is the GCF number.
So the greatest common factor 520,102,719 is 1.

Lets's calculate LCM of 43,97,589

Given numbers has no common factors except 1. So, there LCM is their product i.e 2456719

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2456719

Therefore, the GCF of Fractions 520/43,102/97,719/589 is 1/2456719

Least Common Multiple of 43,97,589 with GCF Formula

Least Common Multiple of 43,97,589 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 43,97,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,97,589) = 1

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

GCF(43,97,589) x common factors =1 x 1 = 1

LCM(43,97,589) = ( 43 × 97 × 589 ) / 1

LCM(43,97,589) = 2456719 / 1

LCM(43,97,589) = 2456719


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 520/43, 102/97, 719/589

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 520/43, 102/97, 719/589?

Answer: GCF of Numerators as per given numbers 520/43, 102/97, 719/589 is

GCF of Numerators i.e. for 520,102,719 is 1

LCM of denominators i.e. for 43,97,589 is 2456719.

Thus, GCF of Fractions is 1/2456719.Finally, GCF of Fractions for 520/43, 102/97, 719/589 is 1/2456719.