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GCF of 585/25, 321/136

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 585/25, 321/136 i.e 3/3400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 585/25, 321/136.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 585/25,321/136?

Given fractions are 585/25,321/136

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 585/25,321/136, numerators are 585,321

Denominators are 25,136

The GCF of 585,321 is 3 .

LCM of 25,136 is 3400.

The greatest common factor of 585/25,321/136 = [GCF of 585,321]/[LCM of 25,136]= 3/3400

Therefore, the GCF of 585/25,321/136 is 3/3400.

Greatest Common Factor of 585,321

To find the highest common factor of 585,321, we have to find the factors of both numbers and list the highest common factor.

The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

The factors of 321 are 1, 3, 107, 321

The HCF of 585,321 is 3.

Lets's calculate GCF of 585,321

Greatest Common Factor (GCF) of 585,321 By Common Division

3 585, 321
195, 107

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 585,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,321 By Matching Biggest Common Factor Method

Now, list down the factors of 585

:

1,3,5,9,13,15,39,45,65,117,195,585

Now, list down the factors of 321

:

1,3,107,321

Greatest Common Factor

We found the factors 585,321 . The biggest common factor number is the GCF number.
So the greatest common factor 585,321 is 3.

Lets's calculate LCM of 25,136

Lowest Common Multiple of 25,136 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3400

Therefore, the GCF of Fractions 585/25,321/136 is 3/3400

Least Common Multiple of 25,136 with GCF Formula

Least Common Multiple of 25,136 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 25,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,136) = 1

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

GCF(25,136) x common factors =1 x 1 = 1

LCM(25,136) = ( 25 × 136 ) / 1

LCM(25,136) = 3400 / 1

LCM(25,136) = 3400


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FAQs on GCF of Fractions of 585/25, 321/136

1. What is the HCF of 585,321?

The HCF of 585,321 is 3

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 585/25, 321/136?

Answer: GCF of Numerators as per given numbers 585/25, 321/136 is

GCF of Numerators i.e. for 585,321 is 3

LCM of denominators i.e. for 25,136 is 3400.

Thus, GCF of Fractions is 3/3400.Finally, GCF of Fractions for 585/25, 321/136 is 3/3400.