Greatest Common Factor of 250/87, 455/40, 522/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 250/87, 455/40, 522/216

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 250/87,455/40,522/216

Given fractions are 250/87,455/40,522/216

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 250,455,522

Greatest Common Factor of Numerators i.e. GCF of 250,455,522 is 1 .

LCM of Denominators means LCM of 87,40,216 as per the given fractions.

LCM of 87,40,216 is 31320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 250,455,522

GCF of Fractions 250/87,455/40,522/216 is 1/31320

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

Greatest Common Factor of 250,455,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,455,522 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 250,455,522 . The biggest common factor number is the GCF number.
So the greatest common factor 250,455,522 is 1.

Lets's calculate LCM of 87,40,216

2 87, 40, 216
2 87, 20, 108
2 87, 10, 54
3 87, 5, 27
29, 5, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 5 x 9 = 31320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31320

Therefore, the GCF of Fractions 250/87,455/40,522/216 is 1/31320

Least Common Multiple of 87,40,216 with GCF Formula

Least Common Multiple of 87,40,216 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 87,40,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,40,216) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(87,40,216) x common factors =1 x 24 = 24

LCM(87,40,216) = ( 87 × 40 × 216 ) / 24

LCM(87,40,216) = 751680 / 24

LCM(87,40,216) = 31320


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 250/87, 455/40, 522/216

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 250/87, 455/40, 522/216?

Answer: GCF of Numerators as per given numbers 250/87, 455/40, 522/216 is

GCF of Numerators i.e. for 250,455,522 is 1

LCM of denominators i.e. for 87,40,216 is 31320.

Thus, GCF of Fractions is 1/31320.Finally, GCF of Fractions for 250/87, 455/40, 522/216 is 1/31320.