How to Find GCF of 6483/756, 7955/5856?

GCF of 6483/756, 7955/5856

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 6483/756, 7955/5856 i.e 1/368928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6483/756, 7955/5856.

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 6483/756,7955/5856?

Given fractions are 6483/756,7955/5856

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 6483/756,7955/5856, numerators are 6483,7955

Denominators are 756,5856

The GCF of 6483,7955 is 1 .

LCM of 756,5856 is 368928.

The greatest common factor of 6483/756,7955/5856 = [GCF of 6483,7955]/[LCM of 756,5856]= 1/368928

Therefore, the GCF of 6483/756,7955/5856 is 1/368928.

Greatest Common Factor of 6483,7955

To find the highest common factor of 6483,7955, we have to find the factors of both numbers and list the highest common factor.

The factors of 6483 are 1, 3, 2161, 6483

The factors of 7955 are 1, 5, 37, 43, 185, 215, 1591, 7955

The HCF of 6483,7955 is 1.

Lets's calculate GCF of 6483,7955

Greatest Common Factor (GCF) of 6483,7955 By Common Division

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

Greatest Common Factor of 6483,7955 By Matching Biggest Common Factor Method

Now, list down the factors of 6483

1,3,2161,6483

Now, list down the factors of 7955

1,5,37,43,185,215,1591,7955

Greatest Common Factor

We found the factors 6483,7955 . The biggest common factor number is the GCF number.
So the greatest common factor 6483,7955 is 1.

Lets's calculate LCM of 756,5856

Lowest Common Multiple of 756,5856 using Common Division

2	756, 5856
2	378, 2928
3	189, 1464
	63, 488

∴ So the LCM of the given numbers is 2 x 2 x 3 x 63 x 488 = 368928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368928

Therefore, the GCF of Fractions 6483/756,7955/5856 is 1/368928

Least Common Multiple of 756,5856 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 756,5856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,5856) = 12

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

GCF(756,5856) x common factors =12 x 1 = 12

LCM(756,5856) = ( 756 × 5856 ) / 12

LCM(756,5856) = 4427136 / 12

LCM(756,5856) = 368928

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FAQs on GCF of Fractions of 6483/756, 7955/5856

1. What is the HCF of 6483,7955?

The HCF of 6483,7955 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 6483/756, 7955/5856?

Answer: GCF of Numerators as per given numbers 6483/756, 7955/5856 is

GCF of Numerators i.e. for 6483,7955 is 1

LCM of denominators i.e. for 756,5856 is 368928.

Thus, GCF of Fractions is 1/368928.Finally, GCF of Fractions for 6483/756, 7955/5856 is 1/368928.