Greatest Common Factor of 795/918, 727/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 795/918, 727/526

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 795/918,727/526

Given fractions are 795/918,727/526

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 795,727

Greatest Common Factor of Numerators i.e. GCF of 795,727 is 1 .

LCM of Denominators means LCM of 918,526 as per the given fractions.

LCM of 918,526 is 241434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 795,727

GCF of Fractions 795/918,727/526 is 1/241434

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

Greatest Common Factor of 795,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,727 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 795,727 . The biggest common factor number is the GCF number.
So the greatest common factor 795,727 is 1.


Lets's calculate LCM of 918,526

2 918, 526
459, 263

∴ So the LCM of the given numbers is 2 x 459 x 263 = 241434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241434

Therefore, the GCF of Fractions 795/918,727/526 is 1/241434

Least Common Multiple of 918,526 with GCF Formula

Least Common Multiple of 918,526 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 918,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,526) = 2

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

GCF(918,526) x common factors =2 x 1 = 2

LCM(918,526) = ( 918 × 526 ) / 2

LCM(918,526) = 482868 / 2

LCM(918,526) = 241434


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 795/918, 727/526

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 795/918, 727/526?

Answer: GCF of Numerators as per given numbers 795/918, 727/526 is

GCF of Numerators i.e. for 795,727 is 1

LCM of denominators i.e. for 918,526 is 241434.

Thus, GCF of Fractions is 1/241434.Finally, GCF of Fractions for 795/918, 727/526 is 1/241434.