Greatest Common Factor of 717/706, 423/869, 266/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 717/706, 423/869, 266/955

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 717/706,423/869,266/955

Given fractions are 717/706,423/869,266/955

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 717,423,266

Greatest Common Factor of Numerators i.e. GCF of 717,423,266 is 1 .

LCM of Denominators means LCM of 706,869,955 as per the given fractions.

LCM of 706,869,955 is 585905870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 717,423,266

GCF of Fractions 717/706,423/869,266/955 is 1/585905870

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

Greatest Common Factor of 717,423,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,423,266 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 717,423,266 . The biggest common factor number is the GCF number.
So the greatest common factor 717,423,266 is 1.

Lets's calculate LCM of 706,869,955

Given numbers has no common factors except 1. So, there LCM is their product i.e 585905870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/585905870

Therefore, the GCF of Fractions 717/706,423/869,266/955 is 1/585905870

Least Common Multiple of 706,869,955 with GCF Formula

Least Common Multiple of 706,869,955 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 706,869,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,869,955) = 1

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

GCF(706,869,955) x common factors =1 x 1 = 1

LCM(706,869,955) = ( 706 × 869 × 955 ) / 1

LCM(706,869,955) = 585905870 / 1

LCM(706,869,955) = 585905870


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 717/706, 423/869, 266/955

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 717/706, 423/869, 266/955?

Answer: GCF of Numerators as per given numbers 717/706, 423/869, 266/955 is

GCF of Numerators i.e. for 717,423,266 is 1

LCM of denominators i.e. for 706,869,955 is 585905870.

Thus, GCF of Fractions is 1/585905870.Finally, GCF of Fractions for 717/706, 423/869, 266/955 is 1/585905870.