Greatest Common Factor of 555/87, 477/50, 282/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 555/87, 477/50, 282/319

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 555/87,477/50,282/319

Given fractions are 555/87,477/50,282/319

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 555,477,282

Greatest Common Factor of Numerators i.e. GCF of 555,477,282 is 3 .

LCM of Denominators means LCM of 87,50,319 as per the given fractions.

LCM of 87,50,319 is 47850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 555,477,282

GCF of Fractions 555/87,477/50,282/319 is 3/47850

3 555, 477, 282
185, 159, 94

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

Greatest Common Factor of 555,477,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,477,282 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 555,477,282 . The biggest common factor number is the GCF number.
So the greatest common factor 555,477,282 is 3.

Lets's calculate LCM of 87,50,319

29 87, 50, 319
3, 50, 11

∴ So the LCM of the given numbers is 29 x 3 x 50 x 11 = 47850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/47850

Therefore, the GCF of Fractions 555/87,477/50,282/319 is 3/47850

Least Common Multiple of 87,50,319 with GCF Formula

Least Common Multiple of 87,50,319 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 87,50,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,50,319) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(87,50,319) x common factors =1 x 29 = 29

LCM(87,50,319) = ( 87 × 50 × 319 ) / 29

LCM(87,50,319) = 1387650 / 29

LCM(87,50,319) = 47850


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 555/87, 477/50, 282/319

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 555/87, 477/50, 282/319?

Answer: GCF of Numerators as per given numbers 555/87, 477/50, 282/319 is

GCF of Numerators i.e. for 555,477,282 is 3

LCM of denominators i.e. for 87,50,319 is 47850.

Thus, GCF of Fractions is 3/47850.Finally, GCF of Fractions for 555/87, 477/50, 282/319 is 3/47850.