Greatest Common Factor of 782/25, 487/29, 597/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 782/25, 487/29, 597/182

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 782/25,487/29,597/182

Given fractions are 782/25,487/29,597/182

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 782,487,597

Greatest Common Factor of Numerators i.e. GCF of 782,487,597 is 1 .

LCM of Denominators means LCM of 25,29,182 as per the given fractions.

LCM of 25,29,182 is 131950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 782,487,597

GCF of Fractions 782/25,487/29,597/182 is 1/131950

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

Greatest Common Factor of 782,487,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,487,597 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 782,487,597 . The biggest common factor number is the GCF number.
So the greatest common factor 782,487,597 is 1.

Lets's calculate LCM of 25,29,182

Given numbers has no common factors except 1. So, there LCM is their product i.e 131950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131950

Therefore, the GCF of Fractions 782/25,487/29,597/182 is 1/131950

Least Common Multiple of 25,29,182 with GCF Formula

Least Common Multiple of 25,29,182 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 25,29,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,29,182) = 1

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

GCF(25,29,182) x common factors =1 x 1 = 1

LCM(25,29,182) = ( 25 × 29 × 182 ) / 1

LCM(25,29,182) = 131950 / 1

LCM(25,29,182) = 131950


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 782/25, 487/29, 597/182

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 782/25, 487/29, 597/182?

Answer: GCF of Numerators as per given numbers 782/25, 487/29, 597/182 is

GCF of Numerators i.e. for 782,487,597 is 1

LCM of denominators i.e. for 25,29,182 is 131950.

Thus, GCF of Fractions is 1/131950.Finally, GCF of Fractions for 782/25, 487/29, 597/182 is 1/131950.