Greatest Common Factor of 240/617, 900/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 240/617, 900/508

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 240/617,900/508

Given fractions are 240/617,900/508

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 240,900

Greatest Common Factor of Numerators i.e. GCF of 240,900 is 60 .

LCM of Denominators means LCM of 617,508 as per the given fractions.

LCM of 617,508 is 313436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 240,900

GCF of Fractions 240/617,900/508 is 60/313436

2 240, 900
2 120, 450
3 60, 225
5 20, 75
4, 15

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Greatest Common Factor of 240,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,900 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 240,900 . The biggest common factor number is the GCF number.
So the greatest common factor 240,900 is 60.

Lets's calculate LCM of 617,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 313436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/313436

Therefore, the GCF of Fractions 240/617,900/508 is 60/313436

Least Common Multiple of 617,508 with GCF Formula

Least Common Multiple of 617,508 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 617,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,508) = 1

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

GCF(617,508) x common factors =1 x 1 = 1

LCM(617,508) = ( 617 × 508 ) / 1

LCM(617,508) = 313436 / 1

LCM(617,508) = 313436


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 240/617, 900/508

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 240/617, 900/508?

Answer: GCF of Numerators as per given numbers 240/617, 900/508 is

GCF of Numerators i.e. for 240,900 is 60

LCM of denominators i.e. for 617,508 is 313436.

Thus, GCF of Fractions is 60/313436.Finally, GCF of Fractions for 240/617, 900/508 is 60/313436.