Greatest Common Factor of 715/827, 1407/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 715/827, 1407/753

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 715/827,1407/753

Given fractions are 715/827,1407/753

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 715,1407

Greatest Common Factor of Numerators i.e. GCF of 715,1407 is 1 .

LCM of Denominators means LCM of 827,753 as per the given fractions.

LCM of 827,753 is 622731 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 715,1407

GCF of Fractions 715/827,1407/753 is 1/622731

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

Greatest Common Factor of 715,1407 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,1407 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 1407

List of positive integer factors of 1407 that divides 1407 without a remainder.

1,3,7,21,67,201,469,1407

Greatest Common Factor

We found the factors 715,1407 . The biggest common factor number is the GCF number.
So the greatest common factor 715,1407 is 1.

Lets's calculate LCM of 827,753

Given numbers has no common factors except 1. So, there LCM is their product i.e 622731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/622731

Therefore, the GCF of Fractions 715/827,1407/753 is 1/622731

Least Common Multiple of 827,753 with GCF Formula

Least Common Multiple of 827,753 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 827,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,753) = 1

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

GCF(827,753) x common factors =1 x 1 = 1

LCM(827,753) = ( 827 × 753 ) / 1

LCM(827,753) = 622731 / 1

LCM(827,753) = 622731


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 715/827, 1407/753

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 715/827, 1407/753?

Answer: GCF of Numerators as per given numbers 715/827, 1407/753 is

GCF of Numerators i.e. for 715,1407 is 1

LCM of denominators i.e. for 827,753 is 622731.

Thus, GCF of Fractions is 1/622731.Finally, GCF of Fractions for 715/827, 1407/753 is 1/622731.