How to Find GCF of 524/758, 523/660, 225/648?

GCF of 524/758, 523/660, 225/648

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 524/758, 523/660, 225/648 i.e 1/13507560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 524/758, 523/660, 225/648.

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 524/758,523/660,225/648?

Given fractions are 524/758,523/660,225/648

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 524/758,523/660,225/648, numerators are 524,523,225

Denominators are 758,660,648

The GCF of 524,523,225 is 1 .

LCM of 758,660,648 is 13507560.

The greatest common factor of 524/758,523/660,225/648 = [GCF of 524,523,225]/[LCM of 758,660,648]= 1/13507560

Therefore, the GCF of 524/758,523/660,225/648 is 1/13507560.

Greatest Common Factor of 524,523,225

To find the highest common factor of 524,523,225, 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 523 are 1, 523

The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225

The HCF of 524,523,225 is 1.

Lets's calculate GCF of 524,523,225

Greatest Common Factor (GCF) of 524,523,225 By Common Division

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

Greatest Common Factor of 524,523,225 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 523

1,523

Now, list down the factors of 225

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 524,523,225 . The biggest common factor number is the GCF number.
So the greatest common factor 524,523,225 is 1.

Lets's calculate LCM of 758,660,648

Lowest Common Multiple of 758,660,648 using Common Division

2	758, 660, 648
2	379, 330, 324
3	379, 165, 162
	379, 55, 54

∴ So the LCM of the given numbers is 2 x 2 x 3 x 379 x 55 x 54 = 13507560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13507560

Therefore, the GCF of Fractions 524/758,523/660,225/648 is 1/13507560

Least Common Multiple of 758,660,648 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 758,660,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,660,648) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(758,660,648) x common factors =2 x 12 = 24

LCM(758,660,648) = ( 758 × 660 × 648 ) / 24

LCM(758,660,648) = 324181440 / 24

LCM(758,660,648) = 13507560

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 524/758, 523/660, 225/648

1. What is the HCF of 524,523,225?

The HCF of 524,523,225 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 524/758, 523/660, 225/648?

Answer: GCF of Numerators as per given numbers 524/758, 523/660, 225/648 is

GCF of Numerators i.e. for 524,523,225 is 1

LCM of denominators i.e. for 758,660,648 is 13507560.

Thus, GCF of Fractions is 1/13507560.Finally, GCF of Fractions for 524/758, 523/660, 225/648 is 1/13507560.