Greatest Common Factor of 570/493, 292/880, 394/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 570/493, 292/880, 394/492

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 570/493,292/880,394/492

Given fractions are 570/493,292/880,394/492

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 570,292,394

Greatest Common Factor of Numerators i.e. GCF of 570,292,394 is 2 .

LCM of Denominators means LCM of 493,880,492 as per the given fractions.

LCM of 493,880,492 is 53362320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 570,292,394

GCF of Fractions 570/493,292/880,394/492 is 2/53362320

2 570, 292, 394
285, 146, 197

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 570,292,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,292,394 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 570,292,394 . The biggest common factor number is the GCF number.
So the greatest common factor 570,292,394 is 2.

Lets's calculate LCM of 493,880,492

2 493, 880, 492
2 493, 440, 246
493, 220, 123

∴ So the LCM of the given numbers is 2 x 2 x 493 x 220 x 123 = 53362320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53362320

Therefore, the GCF of Fractions 570/493,292/880,394/492 is 2/53362320

Least Common Multiple of 493,880,492 with GCF Formula

Least Common Multiple of 493,880,492 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 493,880,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,880,492) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(493,880,492) x common factors =1 x 4 = 4

LCM(493,880,492) = ( 493 × 880 × 492 ) / 4

LCM(493,880,492) = 213449280 / 4

LCM(493,880,492) = 53362320


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 570/493, 292/880, 394/492

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 570/493, 292/880, 394/492?

Answer: GCF of Numerators as per given numbers 570/493, 292/880, 394/492 is

GCF of Numerators i.e. for 570,292,394 is 2

LCM of denominators i.e. for 493,880,492 is 53362320.

Thus, GCF of Fractions is 2/53362320.Finally, GCF of Fractions for 570/493, 292/880, 394/492 is 2/53362320.