Greatest Common Factor of 764/697, 7466/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 764/697, 7466/727

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 764/697,7466/727

Given fractions are 764/697,7466/727

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 764,7466

Greatest Common Factor of Numerators i.e. GCF of 764,7466 is 2 .

LCM of Denominators means LCM of 697,727 as per the given fractions.

LCM of 697,727 is 506719 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 764,7466

GCF of Fractions 764/697,7466/727 is 2/506719

2 764, 7466
382, 3733

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 764,7466 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,7466 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 7466

List of positive integer factors of 7466 that divides 7466 without a remainder.

1,2,3733,7466

Greatest Common Factor

We found the factors 764,7466 . The biggest common factor number is the GCF number.
So the greatest common factor 764,7466 is 2.

Lets's calculate LCM of 697,727

Given numbers has no common factors except 1. So, there LCM is their product i.e 506719

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/506719

Therefore, the GCF of Fractions 764/697,7466/727 is 2/506719

Least Common Multiple of 697,727 with GCF Formula

Least Common Multiple of 697,727 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 697,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,727) = 1

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

GCF(697,727) x common factors =1 x 1 = 1

LCM(697,727) = ( 697 × 727 ) / 1

LCM(697,727) = 506719 / 1

LCM(697,727) = 506719


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 764/697, 7466/727

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 764/697, 7466/727?

Answer: GCF of Numerators as per given numbers 764/697, 7466/727 is

GCF of Numerators i.e. for 764,7466 is 2

LCM of denominators i.e. for 697,727 is 506719.

Thus, GCF of Fractions is 2/506719.Finally, GCF of Fractions for 764/697, 7466/727 is 2/506719.