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GCF of 524/285, 3331/7965

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 524/285, 3331/7965 i.e 1/151335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 524/285, 3331/7965.

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 524/285,3331/7965?

Given fractions are 524/285,3331/7965

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 524/285,3331/7965, numerators are 524,3331

Denominators are 285,7965

The GCF of 524,3331 is 1 .

LCM of 285,7965 is 151335.

The greatest common factor of 524/285,3331/7965 = [GCF of 524,3331]/[LCM of 285,7965]= 1/151335

Therefore, the GCF of 524/285,3331/7965 is 1/151335.

Greatest Common Factor of 524,3331

To find the highest common factor of 524,3331, we have to find the factors of both numbers and list the highest common factor.

The factors of 524 are 1, 2, 4, 131, 262, 524

The factors of 3331 are 1, 3331

The HCF of 524,3331 is 1.

Lets's calculate GCF of 524,3331

Greatest Common Factor (GCF) of 524,3331 By Common Division

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

Greatest Common Factor of 524,3331 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,3331 By Matching Biggest Common Factor Method

Now, list down the factors of 524

:

1,2,4,131,262,524

Now, list down the factors of 3331

:

1,3331

Greatest Common Factor

We found the factors 524,3331 . The biggest common factor number is the GCF number.
So the greatest common factor 524,3331 is 1.

Lets's calculate LCM of 285,7965

Lowest Common Multiple of 285,7965 using Common Division

3 285, 7965
5 95, 2655
19, 531

∴ So the LCM of the given numbers is 3 x 5 x 19 x 531 = 151335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151335

Therefore, the GCF of Fractions 524/285,3331/7965 is 1/151335

Least Common Multiple of 285,7965 with GCF Formula

Least Common Multiple of 285,7965 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 285,7965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,7965) = 15

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

GCF(285,7965) x common factors =15 x 1 = 15

LCM(285,7965) = ( 285 × 7965 ) / 15

LCM(285,7965) = 2270025 / 15

LCM(285,7965) = 151335


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FAQs on GCF of Fractions of 524/285, 3331/7965

1. What is the HCF of 524,3331?

The HCF of 524,3331 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 524/285, 3331/7965?

Answer: GCF of Numerators as per given numbers 524/285, 3331/7965 is

GCF of Numerators i.e. for 524,3331 is 1

LCM of denominators i.e. for 285,7965 is 151335.

Thus, GCF of Fractions is 1/151335.Finally, GCF of Fractions for 524/285, 3331/7965 is 1/151335.