Greatest Common Factor of 298/132, 533/840, 141/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 298/132, 533/840, 141/628

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 298/132,533/840,141/628

Given fractions are 298/132,533/840,141/628

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 298,533,141

Greatest Common Factor of Numerators i.e. GCF of 298,533,141 is 1 .

LCM of Denominators means LCM of 132,840,628 as per the given fractions.

LCM of 132,840,628 is 1450680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 298,533,141

GCF of Fractions 298/132,533/840,141/628 is 1/1450680

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

Greatest Common Factor of 298,533,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,533,141 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 298,533,141 . The biggest common factor number is the GCF number.
So the greatest common factor 298,533,141 is 1.

Lets's calculate LCM of 132,840,628

2 132, 840, 628
2 66, 420, 314
3 33, 210, 157
11, 70, 157

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 70 x 157 = 1450680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1450680

Therefore, the GCF of Fractions 298/132,533/840,141/628 is 1/1450680

Least Common Multiple of 132,840,628 with GCF Formula

Least Common Multiple of 132,840,628 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 132,840,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,840,628) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(132,840,628) x common factors =4 x 12 = 48

LCM(132,840,628) = ( 132 × 840 × 628 ) / 48

LCM(132,840,628) = 69632640 / 48

LCM(132,840,628) = 1450680


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 298/132, 533/840, 141/628

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 298/132, 533/840, 141/628?

Answer: GCF of Numerators as per given numbers 298/132, 533/840, 141/628 is

GCF of Numerators i.e. for 298,533,141 is 1

LCM of denominators i.e. for 132,840,628 is 1450680.

Thus, GCF of Fractions is 1/1450680.Finally, GCF of Fractions for 298/132, 533/840, 141/628 is 1/1450680.