How to Find GCF of 540/756, 4024/625?

GCF of 540/756, 4024/625

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 540/756, 4024/625 i.e 4/472500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 540/756, 4024/625.

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 540/756,4024/625?

Given fractions are 540/756,4024/625

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 540/756,4024/625, numerators are 540,4024

Denominators are 756,625

The GCF of 540,4024 is 4 .

LCM of 756,625 is 472500.

The greatest common factor of 540/756,4024/625 = [GCF of 540,4024]/[LCM of 756,625]= 4/472500

Therefore, the GCF of 540/756,4024/625 is 4/472500.

Greatest Common Factor of 540,4024

To find the highest common factor of 540,4024, we have to find the factors of both numbers and list the highest common factor.

The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

The factors of 4024 are 1, 2, 4, 8, 503, 1006, 2012, 4024

The HCF of 540,4024 is 4.

Lets's calculate GCF of 540,4024

Greatest Common Factor (GCF) of 540,4024 By Common Division

2	540, 4024
2	270, 2012
	135, 1006

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 540,4024 By Matching Biggest Common Factor Method

Now, list down the factors of 540

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Now, list down the factors of 4024

1,2,4,8,503,1006,2012,4024

Greatest Common Factor

We found the factors 540,4024 . The biggest common factor number is the GCF number.
So the greatest common factor 540,4024 is 4.

Lets's calculate LCM of 756,625

Lowest Common Multiple of 756,625 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 472500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/472500

Therefore, the GCF of Fractions 540/756,4024/625 is 4/472500

Least Common Multiple of 756,625 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 756,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,625) = 1

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

GCF(756,625) x common factors =1 x 1 = 1

LCM(756,625) = ( 756 × 625 ) / 1

LCM(756,625) = 472500 / 1

LCM(756,625) = 472500

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 540/756, 4024/625

1. What is the HCF of 540,4024?

The HCF of 540,4024 is 4

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 540/756, 4024/625?

Answer: GCF of Numerators as per given numbers 540/756, 4024/625 is

GCF of Numerators i.e. for 540,4024 is 4

LCM of denominators i.e. for 756,625 is 472500.

Thus, GCF of Fractions is 4/472500.Finally, GCF of Fractions for 540/756, 4024/625 is 4/472500.