Greatest Common Factor of 747/407, 830/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 747/407, 830/492

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 747/407,830/492

Given fractions are 747/407,830/492

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 747,830

Greatest Common Factor of Numerators i.e. GCF of 747,830 is 83 .

LCM of Denominators means LCM of 407,492 as per the given fractions.

LCM of 407,492 is 200244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 747,830

GCF of Fractions 747/407,830/492 is 83/200244

83 747, 830
9, 10

∴ So the GCF of the given numbers is 83 = 83

Greatest Common Factor of 747,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,830 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 747,830 . The biggest common factor number is the GCF number.
So the greatest common factor 747,830 is 83.

Lets's calculate LCM of 407,492

Given numbers has no common factors except 1. So, there LCM is their product i.e 200244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/200244

Therefore, the GCF of Fractions 747/407,830/492 is 83/200244

Least Common Multiple of 407,492 with GCF Formula

Least Common Multiple of 407,492 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 407,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,492) = 1

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

GCF(407,492) x common factors =1 x 1 = 1

LCM(407,492) = ( 407 × 492 ) / 1

LCM(407,492) = 200244 / 1

LCM(407,492) = 200244


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 747/407, 830/492

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 747/407, 830/492?

Answer: GCF of Numerators as per given numbers 747/407, 830/492 is

GCF of Numerators i.e. for 747,830 is 83

LCM of denominators i.e. for 407,492 is 200244.

Thus, GCF of Fractions is 83/200244.Finally, GCF of Fractions for 747/407, 830/492 is 83/200244.