Greatest Common Factor of 709/456, 285/257, 512/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 709/456, 285/257, 512/726

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 709/456,285/257,512/726

Given fractions are 709/456,285/257,512/726

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 709,285,512

Greatest Common Factor of Numerators i.e. GCF of 709,285,512 is 1 .

LCM of Denominators means LCM of 456,257,726 as per the given fractions.

LCM of 456,257,726 is 14180232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 709,285,512

GCF of Fractions 709/456,285/257,512/726 is 1/14180232

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

Greatest Common Factor of 709,285,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,285,512 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 709,285,512 . The biggest common factor number is the GCF number.
So the greatest common factor 709,285,512 is 1.

Lets's calculate LCM of 456,257,726

2 456, 257, 726
3 228, 257, 363
76, 257, 121

∴ So the LCM of the given numbers is 2 x 3 x 76 x 257 x 121 = 14180232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14180232

Therefore, the GCF of Fractions 709/456,285/257,512/726 is 1/14180232

Least Common Multiple of 456,257,726 with GCF Formula

Least Common Multiple of 456,257,726 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 456,257,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,257,726) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(456,257,726) x common factors =1 x 6 = 6

LCM(456,257,726) = ( 456 × 257 × 726 ) / 6

LCM(456,257,726) = 85081392 / 6

LCM(456,257,726) = 14180232


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 709/456, 285/257, 512/726

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 709/456, 285/257, 512/726?

Answer: GCF of Numerators as per given numbers 709/456, 285/257, 512/726 is

GCF of Numerators i.e. for 709,285,512 is 1

LCM of denominators i.e. for 456,257,726 is 14180232.

Thus, GCF of Fractions is 1/14180232.Finally, GCF of Fractions for 709/456, 285/257, 512/726 is 1/14180232.