Greatest Common Factor of 90/286, 505/814, 390/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/286, 505/814, 390/264

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 90/286,505/814,390/264

Given fractions are 90/286,505/814,390/264

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 90,505,390

Greatest Common Factor of Numerators i.e. GCF of 90,505,390 is 5 .

LCM of Denominators means LCM of 286,814,264 as per the given fractions.

LCM of 286,814,264 is 126984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,505,390

GCF of Fractions 90/286,505/814,390/264 is 5/126984

5 90, 505, 390
18, 101, 78

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 90,505,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,505,390 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 90,505,390 . The biggest common factor number is the GCF number.
So the greatest common factor 90,505,390 is 5.

Lets's calculate LCM of 286,814,264

2 286, 814, 264
11 143, 407, 132
13, 37, 12

∴ So the LCM of the given numbers is 2 x 11 x 13 x 37 x 12 = 126984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/126984

Therefore, the GCF of Fractions 90/286,505/814,390/264 is 5/126984

Least Common Multiple of 286,814,264 with GCF Formula

Least Common Multiple of 286,814,264 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 286,814,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,814,264) = 22

common factors(in case of two or more numbers have common factors) = 22

GCF(286,814,264) x common factors =22 x 22 = 484

LCM(286,814,264) = ( 286 × 814 × 264 ) / 484

LCM(286,814,264) = 61460256 / 484

LCM(286,814,264) = 126984


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 90/286, 505/814, 390/264

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 90/286, 505/814, 390/264?

Answer: GCF of Numerators as per given numbers 90/286, 505/814, 390/264 is

GCF of Numerators i.e. for 90,505,390 is 5

LCM of denominators i.e. for 286,814,264 is 126984.

Thus, GCF of Fractions is 5/126984.Finally, GCF of Fractions for 90/286, 505/814, 390/264 is 5/126984.