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GCF of 525/58, 151/960

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 525/58, 151/960 i.e 1/27840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 525/58, 151/960.

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 525/58,151/960?

Given fractions are 525/58,151/960

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 525/58,151/960, numerators are 525,151

Denominators are 58,960

The GCF of 525,151 is 1 .

LCM of 58,960 is 27840.

The greatest common factor of 525/58,151/960 = [GCF of 525,151]/[LCM of 58,960]= 1/27840

Therefore, the GCF of 525/58,151/960 is 1/27840.

Greatest Common Factor of 525,151

To find the highest common factor of 525,151, 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 151 are 1, 151

The HCF of 525,151 is 1.

Lets's calculate GCF of 525,151

Greatest Common Factor (GCF) of 525,151 By Common Division

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

Greatest Common Factor of 525,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,151 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 151

:

1,151

Greatest Common Factor

We found the factors 525,151 . The biggest common factor number is the GCF number.
So the greatest common factor 525,151 is 1.

Lets's calculate LCM of 58,960

Lowest Common Multiple of 58,960 using Common Division

2 58, 960
29, 480

∴ So the LCM of the given numbers is 2 x 29 x 480 = 27840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27840

Therefore, the GCF of Fractions 525/58,151/960 is 1/27840

Least Common Multiple of 58,960 with GCF Formula

Least Common Multiple of 58,960 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 58,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,960) = 2

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

GCF(58,960) x common factors =2 x 1 = 2

LCM(58,960) = ( 58 × 960 ) / 2

LCM(58,960) = 55680 / 2

LCM(58,960) = 27840


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FAQs on GCF of Fractions of 525/58, 151/960

1. What is the HCF of 525,151?

The HCF of 525,151 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 525/58, 151/960?

Answer: GCF of Numerators as per given numbers 525/58, 151/960 is

GCF of Numerators i.e. for 525,151 is 1

LCM of denominators i.e. for 58,960 is 27840.

Thus, GCF of Fractions is 1/27840.Finally, GCF of Fractions for 525/58, 151/960 is 1/27840.