How to Find GCF of 24/756, 6567/3064?

GCF of 24/756, 6567/3064

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 24/756, 6567/3064 i.e 3/579096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/756, 6567/3064.

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 24/756,6567/3064?

Given fractions are 24/756,6567/3064

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 24/756,6567/3064, numerators are 24,6567

Denominators are 756,3064

The GCF of 24,6567 is 3 .

LCM of 756,3064 is 579096.

The greatest common factor of 24/756,6567/3064 = [GCF of 24,6567]/[LCM of 756,3064]= 3/579096

Therefore, the GCF of 24/756,6567/3064 is 3/579096.

Greatest Common Factor of 24,6567

To find the highest common factor of 24,6567, we have to find the factors of both numbers and list the highest common factor.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

The factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567

The HCF of 24,6567 is 3.

Lets's calculate GCF of 24,6567

Greatest Common Factor (GCF) of 24,6567 By Common Division

3	24, 6567
	8, 2189

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 24,6567 By Matching Biggest Common Factor Method

Now, list down the factors of 24

1,2,3,4,6,8,12,24

Now, list down the factors of 6567

1,3,11,33,199,597,2189,6567

Greatest Common Factor

We found the factors 24,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 24,6567 is 3.

Lets's calculate LCM of 756,3064

Lowest Common Multiple of 756,3064 using Common Division

2	756, 3064
2	378, 1532
	189, 766

∴ So the LCM of the given numbers is 2 x 2 x 189 x 766 = 579096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/579096

Therefore, the GCF of Fractions 24/756,6567/3064 is 3/579096

Least Common Multiple of 756,3064 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 756,3064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,3064) = 4

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

GCF(756,3064) x common factors =4 x 1 = 4

LCM(756,3064) = ( 756 × 3064 ) / 4

LCM(756,3064) = 2316384 / 4

LCM(756,3064) = 579096

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FAQs on GCF of Fractions of 24/756, 6567/3064

1. What is the HCF of 24,6567?

The HCF of 24,6567 is 3

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 24/756, 6567/3064?

Answer: GCF of Numerators as per given numbers 24/756, 6567/3064 is

GCF of Numerators i.e. for 24,6567 is 3

LCM of denominators i.e. for 756,3064 is 579096.

Thus, GCF of Fractions is 3/579096.Finally, GCF of Fractions for 24/756, 6567/3064 is 3/579096.