Greatest Common Factor of 588/919, 440/269, 723/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 588/919, 440/269, 723/416

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 588/919,440/269,723/416

Given fractions are 588/919,440/269,723/416

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 588,440,723

Greatest Common Factor of Numerators i.e. GCF of 588,440,723 is 1 .

LCM of Denominators means LCM of 919,269,416 as per the given fractions.

LCM of 919,269,416 is 102839776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 588,440,723

GCF of Fractions 588/919,440/269,723/416 is 1/102839776

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

Greatest Common Factor of 588,440,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,440,723 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 588,440,723 . The biggest common factor number is the GCF number.
So the greatest common factor 588,440,723 is 1.

Lets's calculate LCM of 919,269,416

Given numbers has no common factors except 1. So, there LCM is their product i.e 102839776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102839776

Therefore, the GCF of Fractions 588/919,440/269,723/416 is 1/102839776

Least Common Multiple of 919,269,416 with GCF Formula

Least Common Multiple of 919,269,416 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 919,269,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,269,416) = 1

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

GCF(919,269,416) x common factors =1 x 1 = 1

LCM(919,269,416) = ( 919 × 269 × 416 ) / 1

LCM(919,269,416) = 102839776 / 1

LCM(919,269,416) = 102839776


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 588/919, 440/269, 723/416

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 588/919, 440/269, 723/416?

Answer: GCF of Numerators as per given numbers 588/919, 440/269, 723/416 is

GCF of Numerators i.e. for 588,440,723 is 1

LCM of denominators i.e. for 919,269,416 is 102839776.

Thus, GCF of Fractions is 1/102839776.Finally, GCF of Fractions for 588/919, 440/269, 723/416 is 1/102839776.