Greatest Common Factor of 504/51, 611/95, 126/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/51, 611/95, 126/419

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 504/51,611/95,126/419

Given fractions are 504/51,611/95,126/419

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 504,611,126

Greatest Common Factor of Numerators i.e. GCF of 504,611,126 is 1 .

LCM of Denominators means LCM of 51,95,419 as per the given fractions.

LCM of 51,95,419 is 2030055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,611,126

GCF of Fractions 504/51,611/95,126/419 is 1/2030055

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

Greatest Common Factor of 504,611,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,611,126 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 504,611,126 . The biggest common factor number is the GCF number.
So the greatest common factor 504,611,126 is 1.

Lets's calculate LCM of 51,95,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 2030055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2030055

Therefore, the GCF of Fractions 504/51,611/95,126/419 is 1/2030055

Least Common Multiple of 51,95,419 with GCF Formula

Least Common Multiple of 51,95,419 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 51,95,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,95,419) = 1

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

GCF(51,95,419) x common factors =1 x 1 = 1

LCM(51,95,419) = ( 51 × 95 × 419 ) / 1

LCM(51,95,419) = 2030055 / 1

LCM(51,95,419) = 2030055


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 504/51, 611/95, 126/419

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 504/51, 611/95, 126/419?

Answer: GCF of Numerators as per given numbers 504/51, 611/95, 126/419 is

GCF of Numerators i.e. for 504,611,126 is 1

LCM of denominators i.e. for 51,95,419 is 2030055.

Thus, GCF of Fractions is 1/2030055.Finally, GCF of Fractions for 504/51, 611/95, 126/419 is 1/2030055.