Greatest Common Factor of 492/10, 428/70, 447/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 492/10, 428/70, 447/653

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 492/10,428/70,447/653

Given fractions are 492/10,428/70,447/653

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 492,428,447

Greatest Common Factor of Numerators i.e. GCF of 492,428,447 is 1 .

LCM of Denominators means LCM of 10,70,653 as per the given fractions.

LCM of 10,70,653 is 45710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 492,428,447

GCF of Fractions 492/10,428/70,447/653 is 1/45710

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

Greatest Common Factor of 492,428,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,428,447 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 492,428,447 . The biggest common factor number is the GCF number.
So the greatest common factor 492,428,447 is 1.

Lets's calculate LCM of 10,70,653

2 10, 70, 653
5 5, 35, 653
1, 7, 653

∴ So the LCM of the given numbers is 2 x 5 x 1 x 7 x 653 = 45710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45710

Therefore, the GCF of Fractions 492/10,428/70,447/653 is 1/45710

Least Common Multiple of 10,70,653 with GCF Formula

Least Common Multiple of 10,70,653 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 10,70,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,70,653) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(10,70,653) x common factors =1 x 10 = 10

LCM(10,70,653) = ( 10 × 70 × 653 ) / 10

LCM(10,70,653) = 457100 / 10

LCM(10,70,653) = 45710


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 492/10, 428/70, 447/653

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 492/10, 428/70, 447/653?

Answer: GCF of Numerators as per given numbers 492/10, 428/70, 447/653 is

GCF of Numerators i.e. for 492,428,447 is 1

LCM of denominators i.e. for 10,70,653 is 45710.

Thus, GCF of Fractions is 1/45710.Finally, GCF of Fractions for 492/10, 428/70, 447/653 is 1/45710.