Greatest Common Factor of 711/410, 745/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 711/410, 745/724

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 711/410,745/724

Given fractions are 711/410,745/724

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 711,745

Greatest Common Factor of Numerators i.e. GCF of 711,745 is 1 .

LCM of Denominators means LCM of 410,724 as per the given fractions.

LCM of 410,724 is 148420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 711,745

GCF of Fractions 711/410,745/724 is 1/148420

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

Greatest Common Factor of 711,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,745 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 711,745 . The biggest common factor number is the GCF number.
So the greatest common factor 711,745 is 1.

Lets's calculate LCM of 410,724

2 410, 724
205, 362

∴ So the LCM of the given numbers is 2 x 205 x 362 = 148420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148420

Therefore, the GCF of Fractions 711/410,745/724 is 1/148420

Least Common Multiple of 410,724 with GCF Formula

Least Common Multiple of 410,724 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 410,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,724) = 2

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

GCF(410,724) x common factors =2 x 1 = 2

LCM(410,724) = ( 410 × 724 ) / 2

LCM(410,724) = 296840 / 2

LCM(410,724) = 148420


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 711/410, 745/724

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 711/410, 745/724?

Answer: GCF of Numerators as per given numbers 711/410, 745/724 is

GCF of Numerators i.e. for 711,745 is 1

LCM of denominators i.e. for 410,724 is 148420.

Thus, GCF of Fractions is 1/148420.Finally, GCF of Fractions for 711/410, 745/724 is 1/148420.