How to Find GCF of 144/651, 540/956?

GCF of 144/651, 540/956

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 144/651, 540/956 i.e 36/622356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 144/651, 540/956.

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 144/651,540/956?

Given fractions are 144/651,540/956

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 144/651,540/956, numerators are 144,540

Denominators are 651,956

The GCF of 144,540 is 36 .

LCM of 651,956 is 622356.

The greatest common factor of 144/651,540/956 = [GCF of 144,540]/[LCM of 651,956]= 36/622356

Therefore, the GCF of 144/651,540/956 is 36/622356.

Greatest Common Factor of 144,540

To find the highest common factor of 144,540, we have to find the factors of both numbers and list the highest common factor.

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 HCF of 144,540 is 36.

Lets's calculate GCF of 144,540

Greatest Common Factor (GCF) of 144,540 By Common Division

2	144, 540
2	72, 270
3	36, 135
3	12, 45
	4, 15

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 144,540 By Matching Biggest Common Factor Method

Now, list down the factors of 144

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

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

Greatest Common Factor

We found the factors 144,540 . The biggest common factor number is the GCF number.
So the greatest common factor 144,540 is 36.

Lets's calculate LCM of 651,956

Lowest Common Multiple of 651,956 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 622356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/622356

Therefore, the GCF of Fractions 144/651,540/956 is 36/622356

Least Common Multiple of 651,956 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 651,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,956) = 1

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

GCF(651,956) x common factors =1 x 1 = 1

LCM(651,956) = ( 651 × 956 ) / 1

LCM(651,956) = 622356 / 1

LCM(651,956) = 622356

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 144/651, 540/956

1. What is the HCF of 144,540?

The HCF of 144,540 is 36

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 144/651, 540/956?

Answer: GCF of Numerators as per given numbers 144/651, 540/956 is

GCF of Numerators i.e. for 144,540 is 36

LCM of denominators i.e. for 651,956 is 622356.

Thus, GCF of Fractions is 36/622356.Finally, GCF of Fractions for 144/651, 540/956 is 36/622356.