Greatest Common Factor of 28/40, 45/106, 602/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/40, 45/106, 602/533

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 28/40,45/106,602/533

Given fractions are 28/40,45/106,602/533

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 28,45,602

Greatest Common Factor of Numerators i.e. GCF of 28,45,602 is 1 .

LCM of Denominators means LCM of 40,106,533 as per the given fractions.

LCM of 40,106,533 is 1129960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,45,602

GCF of Fractions 28/40,45/106,602/533 is 1/1129960

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

Greatest Common Factor of 28,45,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,45,602 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 28,45,602 . The biggest common factor number is the GCF number.
So the greatest common factor 28,45,602 is 1.

Lets's calculate LCM of 40,106,533

2 40, 106, 533
20, 53, 533

∴ So the LCM of the given numbers is 2 x 20 x 53 x 533 = 1129960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1129960

Therefore, the GCF of Fractions 28/40,45/106,602/533 is 1/1129960

Least Common Multiple of 40,106,533 with GCF Formula

Least Common Multiple of 40,106,533 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 40,106,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,106,533) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(40,106,533) x common factors =1 x 2 = 2

LCM(40,106,533) = ( 40 × 106 × 533 ) / 2

LCM(40,106,533) = 2259920 / 2

LCM(40,106,533) = 1129960


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 28/40, 45/106, 602/533

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 28/40, 45/106, 602/533?

Answer: GCF of Numerators as per given numbers 28/40, 45/106, 602/533 is

GCF of Numerators i.e. for 28,45,602 is 1

LCM of denominators i.e. for 40,106,533 is 1129960.

Thus, GCF of Fractions is 1/1129960.Finally, GCF of Fractions for 28/40, 45/106, 602/533 is 1/1129960.