How to Find GCF of 2585/600, 1507/2230?

GCF of 2585/600, 1507/2230

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2585/600, 1507/2230 i.e 11/133800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2585/600, 1507/2230.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2585/600,1507/2230?

Given fractions are 2585/600,1507/2230

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2585/600,1507/2230, numerators are 2585,1507

Denominators are 600,2230

The GCF of 2585,1507 is 11 .

LCM of 600,2230 is 133800.

The greatest common factor of 2585/600,1507/2230 = [GCF of 2585,1507]/[LCM of 600,2230]= 11/133800

Therefore, the GCF of 2585/600,1507/2230 is 11/133800.

Greatest Common Factor of 2585,1507

To find the highest common factor of 2585,1507, we have to find the factors of both numbers and list the highest common factor.

The factors of 2585 are 1, 5, 11, 47, 55, 235, 517, 2585

The factors of 1507 are 1, 11, 137, 1507

The HCF of 2585,1507 is 11.

Lets's calculate GCF of 2585,1507

Greatest Common Factor (GCF) of 2585,1507 By Common Division

11	2585, 1507
	235, 137

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 2585,1507 By Matching Biggest Common Factor Method

Now, list down the factors of 2585

1,5,11,47,55,235,517,2585

Now, list down the factors of 1507

1,11,137,1507

Greatest Common Factor

We found the factors 2585,1507 . The biggest common factor number is the GCF number.
So the greatest common factor 2585,1507 is 11.

Lets's calculate LCM of 600,2230

Lowest Common Multiple of 600,2230 using Common Division

2	600, 2230
5	300, 1115
	60, 223

∴ So the LCM of the given numbers is 2 x 5 x 60 x 223 = 133800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/133800

Therefore, the GCF of Fractions 2585/600,1507/2230 is 11/133800

Least Common Multiple of 600,2230 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 600,2230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,2230) = 10

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

GCF(600,2230) x common factors =10 x 1 = 10

LCM(600,2230) = ( 600 × 2230 ) / 10

LCM(600,2230) = 1338000 / 10

LCM(600,2230) = 133800

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2585/600, 1507/2230

1. What is the HCF of 2585,1507?

The HCF of 2585,1507 is 11

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 2585/600, 1507/2230?

Answer: GCF of Numerators as per given numbers 2585/600, 1507/2230 is

GCF of Numerators i.e. for 2585,1507 is 11

LCM of denominators i.e. for 600,2230 is 133800.

Thus, GCF of Fractions is 11/133800.Finally, GCF of Fractions for 2585/600, 1507/2230 is 11/133800.