Greatest Common Factor of 504/749, 771/157, 863/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/749, 771/157, 863/288

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 504/749,771/157,863/288

Given fractions are 504/749,771/157,863/288

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 504,771,863

Greatest Common Factor of Numerators i.e. GCF of 504,771,863 is 1 .

LCM of Denominators means LCM of 749,157,288 as per the given fractions.

LCM of 749,157,288 is 33866784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,771,863

GCF of Fractions 504/749,771/157,863/288 is 1/33866784

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

Greatest Common Factor of 504,771,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,771,863 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 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 504,771,863 . The biggest common factor number is the GCF number.
So the greatest common factor 504,771,863 is 1.

Lets's calculate LCM of 749,157,288

Given numbers has no common factors except 1. So, there LCM is their product i.e 33866784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33866784

Therefore, the GCF of Fractions 504/749,771/157,863/288 is 1/33866784

Least Common Multiple of 749,157,288 with GCF Formula

Least Common Multiple of 749,157,288 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 749,157,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,157,288) = 1

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

GCF(749,157,288) x common factors =1 x 1 = 1

LCM(749,157,288) = ( 749 × 157 × 288 ) / 1

LCM(749,157,288) = 33866784 / 1

LCM(749,157,288) = 33866784


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 504/749, 771/157, 863/288

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 504/749, 771/157, 863/288?

Answer: GCF of Numerators as per given numbers 504/749, 771/157, 863/288 is

GCF of Numerators i.e. for 504,771,863 is 1

LCM of denominators i.e. for 749,157,288 is 33866784.

Thus, GCF of Fractions is 1/33866784.Finally, GCF of Fractions for 504/749, 771/157, 863/288 is 1/33866784.