Greatest Common Factor of 453/400, 852/581, 741/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 453/400, 852/581, 741/997

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 453/400,852/581,741/997

Given fractions are 453/400,852/581,741/997

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 453,852,741

Greatest Common Factor of Numerators i.e. GCF of 453,852,741 is 3 .

LCM of Denominators means LCM of 400,581,997 as per the given fractions.

LCM of 400,581,997 is 231702800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 453,852,741

GCF of Fractions 453/400,852/581,741/997 is 3/231702800

3 453, 852, 741
151, 284, 247

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 453,852,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,852,741 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 453,852,741 . The biggest common factor number is the GCF number.
So the greatest common factor 453,852,741 is 3.

Lets's calculate LCM of 400,581,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 231702800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/231702800

Therefore, the GCF of Fractions 453/400,852/581,741/997 is 3/231702800

Least Common Multiple of 400,581,997 with GCF Formula

Least Common Multiple of 400,581,997 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 400,581,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,581,997) = 1

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

GCF(400,581,997) x common factors =1 x 1 = 1

LCM(400,581,997) = ( 400 × 581 × 997 ) / 1

LCM(400,581,997) = 231702800 / 1

LCM(400,581,997) = 231702800


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 453/400, 852/581, 741/997

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 453/400, 852/581, 741/997?

Answer: GCF of Numerators as per given numbers 453/400, 852/581, 741/997 is

GCF of Numerators i.e. for 453,852,741 is 3

LCM of denominators i.e. for 400,581,997 is 231702800.

Thus, GCF of Fractions is 3/231702800.Finally, GCF of Fractions for 453/400, 852/581, 741/997 is 3/231702800.