Greatest Common Factor of 90/439, 420/609, 560/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/439, 420/609, 560/649

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 90/439,420/609,560/649

Given fractions are 90/439,420/609,560/649

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 90,420,560

Greatest Common Factor of Numerators i.e. GCF of 90,420,560 is 10 .

LCM of Denominators means LCM of 439,609,649 as per the given fractions.

LCM of 439,609,649 is 173510799 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,420,560

GCF of Fractions 90/439,420/609,560/649 is 10/173510799

2 90, 420, 560
5 45, 210, 280
9, 42, 56

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 90,420,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,420,560 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 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 90,420,560 . The biggest common factor number is the GCF number.
So the greatest common factor 90,420,560 is 10.

Lets's calculate LCM of 439,609,649

Given numbers has no common factors except 1. So, there LCM is their product i.e 173510799

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/173510799

Therefore, the GCF of Fractions 90/439,420/609,560/649 is 10/173510799

Least Common Multiple of 439,609,649 with GCF Formula

Least Common Multiple of 439,609,649 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 439,609,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,609,649) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(439,609,649) x common factors =1 x 1 = 1

LCM(439,609,649) = ( 439 × 609 × 649 ) / 1

LCM(439,609,649) = 173510799 / 1

LCM(439,609,649) = 173510799


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 90/439, 420/609, 560/649

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 90/439, 420/609, 560/649?

Answer: GCF of Numerators as per given numbers 90/439, 420/609, 560/649 is

GCF of Numerators i.e. for 90,420,560 is 10

LCM of denominators i.e. for 439,609,649 is 173510799.

Thus, GCF of Fractions is 10/173510799.Finally, GCF of Fractions for 90/439, 420/609, 560/649 is 10/173510799.