How to Find GCF of 525/958, 500/360?

GCF of 525/958, 500/360

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 525/958, 500/360 i.e 25/172440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 525/958, 500/360.

Enter two or more fractions separated by "commas"

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

What is the GCF of 525/958,500/360?

Given fractions are 525/958,500/360

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 525/958,500/360, numerators are 525,500

Denominators are 958,360

The GCF of 525,500 is 25 .

LCM of 958,360 is 172440.

The greatest common factor of 525/958,500/360 = [GCF of 525,500]/[LCM of 958,360]= 25/172440

Therefore, the GCF of 525/958,500/360 is 25/172440.

Greatest Common Factor of 525,500

To find the highest common factor of 525,500, 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 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The HCF of 525,500 is 25.

Lets's calculate GCF of 525,500

Greatest Common Factor (GCF) of 525,500 By Common Division

5	525, 500
5	105, 100
	21, 20

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 525,500 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 500

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 525,500 . The biggest common factor number is the GCF number.
So the greatest common factor 525,500 is 25.

Lets's calculate LCM of 958,360

Lowest Common Multiple of 958,360 using Common Division

2	958, 360
	479, 180

∴ So the LCM of the given numbers is 2 x 479 x 180 = 172440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/172440

Therefore, the GCF of Fractions 525/958,500/360 is 25/172440

Least Common Multiple of 958,360 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 958,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,360) = 2

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

GCF(958,360) x common factors =2 x 1 = 2

LCM(958,360) = ( 958 × 360 ) / 2

LCM(958,360) = 344880 / 2

LCM(958,360) = 172440

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FAQs on GCF of Fractions of 525/958, 500/360

1. What is the HCF of 525,500?

The HCF of 525,500 is 25

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 525/958, 500/360?

Answer: GCF of Numerators as per given numbers 525/958, 500/360 is

GCF of Numerators i.e. for 525,500 is 25

LCM of denominators i.e. for 958,360 is 172440.

Thus, GCF of Fractions is 25/172440.Finally, GCF of Fractions for 525/958, 500/360 is 25/172440.