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GCF of 535/64, 131/585

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 535/64, 131/585 i.e 1/37440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 535/64, 131/585.

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 535/64,131/585?

Given fractions are 535/64,131/585

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 535/64,131/585, numerators are 535,131

Denominators are 64,585

The GCF of 535,131 is 1 .

LCM of 64,585 is 37440.

The greatest common factor of 535/64,131/585 = [GCF of 535,131]/[LCM of 64,585]= 1/37440

Therefore, the GCF of 535/64,131/585 is 1/37440.

Greatest Common Factor of 535,131

To find the highest common factor of 535,131, we have to find the factors of both numbers and list the highest common factor.

The factors of 535 are 1, 5, 107, 535

The factors of 131 are 1, 131

The HCF of 535,131 is 1.

Lets's calculate GCF of 535,131

Greatest Common Factor (GCF) of 535,131 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 535,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,131 By Matching Biggest Common Factor Method

Now, list down the factors of 535

:

1,5,107,535

Now, list down the factors of 131

:

1,131

Greatest Common Factor

We found the factors 535,131 . The biggest common factor number is the GCF number.
So the greatest common factor 535,131 is 1.

Lets's calculate LCM of 64,585

Lowest Common Multiple of 64,585 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 37440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37440

Therefore, the GCF of Fractions 535/64,131/585 is 1/37440

Least Common Multiple of 64,585 with GCF Formula

Least Common Multiple of 64,585 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 64,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,585) = 1

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

GCF(64,585) x common factors =1 x 1 = 1

LCM(64,585) = ( 64 × 585 ) / 1

LCM(64,585) = 37440 / 1

LCM(64,585) = 37440


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FAQs on GCF of Fractions of 535/64, 131/585

1. What is the HCF of 535,131?

The HCF of 535,131 is 1

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 535/64, 131/585?

Answer: GCF of Numerators as per given numbers 535/64, 131/585 is

GCF of Numerators i.e. for 535,131 is 1

LCM of denominators i.e. for 64,585 is 37440.

Thus, GCF of Fractions is 1/37440.Finally, GCF of Fractions for 535/64, 131/585 is 1/37440.