Greatest Common Factor of 468/689, 313/514, 619/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 468/689, 313/514, 619/720

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 468/689,313/514,619/720

Given fractions are 468/689,313/514,619/720

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 468,313,619

Greatest Common Factor of Numerators i.e. GCF of 468,313,619 is 1 .

LCM of Denominators means LCM of 689,514,720 as per the given fractions.

LCM of 689,514,720 is 127492560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 468,313,619

GCF of Fractions 468/689,313/514,619/720 is 1/127492560

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

Greatest Common Factor of 468,313,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,313,619 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 468,313,619 . The biggest common factor number is the GCF number.
So the greatest common factor 468,313,619 is 1.

Lets's calculate LCM of 689,514,720

2 689, 514, 720
689, 257, 360

∴ So the LCM of the given numbers is 2 x 689 x 257 x 360 = 127492560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127492560

Therefore, the GCF of Fractions 468/689,313/514,619/720 is 1/127492560

Least Common Multiple of 689,514,720 with GCF Formula

Least Common Multiple of 689,514,720 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 689,514,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,514,720) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(689,514,720) x common factors =1 x 2 = 2

LCM(689,514,720) = ( 689 × 514 × 720 ) / 2

LCM(689,514,720) = 254985120 / 2

LCM(689,514,720) = 127492560


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 468/689, 313/514, 619/720

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 468/689, 313/514, 619/720?

Answer: GCF of Numerators as per given numbers 468/689, 313/514, 619/720 is

GCF of Numerators i.e. for 468,313,619 is 1

LCM of denominators i.e. for 689,514,720 is 127492560.

Thus, GCF of Fractions is 1/127492560.Finally, GCF of Fractions for 468/689, 313/514, 619/720 is 1/127492560.