Greatest Common Factor of 419/508, 388/722, 264/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 419/508, 388/722, 264/500

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 419/508,388/722,264/500

Given fractions are 419/508,388/722,264/500

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 419,388,264

Greatest Common Factor of Numerators i.e. GCF of 419,388,264 is 1 .

LCM of Denominators means LCM of 508,722,500 as per the given fractions.

LCM of 508,722,500 is 22923500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 419,388,264

GCF of Fractions 419/508,388/722,264/500 is 1/22923500

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

Greatest Common Factor of 419,388,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 419,388,264 By Matching Biggest Common Factor Method

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 419,388,264 . The biggest common factor number is the GCF number.
So the greatest common factor 419,388,264 is 1.

Lets's calculate LCM of 508,722,500

2 508, 722, 500
2 254, 361, 250
127, 361, 125

∴ So the LCM of the given numbers is 2 x 2 x 127 x 361 x 125 = 22923500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22923500

Therefore, the GCF of Fractions 419/508,388/722,264/500 is 1/22923500

Least Common Multiple of 508,722,500 with GCF Formula

Least Common Multiple of 508,722,500 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 508,722,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,722,500) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(508,722,500) x common factors =2 x 4 = 8

LCM(508,722,500) = ( 508 × 722 × 500 ) / 8

LCM(508,722,500) = 183388000 / 8

LCM(508,722,500) = 22923500


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 419/508, 388/722, 264/500

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 419/508, 388/722, 264/500?

Answer: GCF of Numerators as per given numbers 419/508, 388/722, 264/500 is

GCF of Numerators i.e. for 419,388,264 is 1

LCM of denominators i.e. for 508,722,500 is 22923500.

Thus, GCF of Fractions is 1/22923500.Finally, GCF of Fractions for 419/508, 388/722, 264/500 is 1/22923500.