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GCF of 525/728, 215/854

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 525/728, 215/854 i.e 5/44408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 525/728, 215/854.

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 525/728,215/854?

Given fractions are 525/728,215/854

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 525/728,215/854, numerators are 525,215

Denominators are 728,854

The GCF of 525,215 is 5 .

LCM of 728,854 is 44408.

The greatest common factor of 525/728,215/854 = [GCF of 525,215]/[LCM of 728,854]= 5/44408

Therefore, the GCF of 525/728,215/854 is 5/44408.

Greatest Common Factor of 525,215

To find the highest common factor of 525,215, we have to find the factors of both numbers and list the highest common factor.

The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

The factors of 215 are 1, 5, 43, 215

The HCF of 525,215 is 5.

Lets's calculate GCF of 525,215

Greatest Common Factor (GCF) of 525,215 By Common Division

5 525, 215
105, 43

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 525,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,215 By Matching Biggest Common Factor Method

Now, list down the factors of 525

:

1,3,5,7,15,21,25,35,75,105,175,525

Now, list down the factors of 215

:

1,5,43,215

Greatest Common Factor

We found the factors 525,215 . The biggest common factor number is the GCF number.
So the greatest common factor 525,215 is 5.

Lets's calculate LCM of 728,854

Lowest Common Multiple of 728,854 using Common Division

2 728, 854
7 364, 427
52, 61

∴ So the LCM of the given numbers is 2 x 7 x 52 x 61 = 44408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/44408

Therefore, the GCF of Fractions 525/728,215/854 is 5/44408

Least Common Multiple of 728,854 with GCF Formula

Least Common Multiple of 728,854 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 728,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,854) = 14

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

GCF(728,854) x common factors =14 x 1 = 14

LCM(728,854) = ( 728 × 854 ) / 14

LCM(728,854) = 621712 / 14

LCM(728,854) = 44408


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FAQs on GCF of Fractions of 525/728, 215/854

1. What is the HCF of 525,215?

The HCF of 525,215 is 5

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 525/728, 215/854?

Answer: GCF of Numerators as per given numbers 525/728, 215/854 is

GCF of Numerators i.e. for 525,215 is 5

LCM of denominators i.e. for 728,854 is 44408.

Thus, GCF of Fractions is 5/44408.Finally, GCF of Fractions for 525/728, 215/854 is 5/44408.