How to Find GCF of 5612/514, 6064/9749?

GCF of 5612/514, 6064/9749

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 5612/514, 6064/9749 i.e 4/5010986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5612/514, 6064/9749.

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 5612/514,6064/9749?

Given fractions are 5612/514,6064/9749

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 5612/514,6064/9749, numerators are 5612,6064

Denominators are 514,9749

The GCF of 5612,6064 is 4 .

LCM of 514,9749 is 5010986.

The greatest common factor of 5612/514,6064/9749 = [GCF of 5612,6064]/[LCM of 514,9749]= 4/5010986

Therefore, the GCF of 5612/514,6064/9749 is 4/5010986.

Greatest Common Factor of 5612,6064

To find the highest common factor of 5612,6064, we have to find the factors of both numbers and list the highest common factor.

The factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612

The factors of 6064 are 1, 2, 4, 8, 16, 379, 758, 1516, 3032, 6064

The HCF of 5612,6064 is 4.

Lets's calculate GCF of 5612,6064

Greatest Common Factor (GCF) of 5612,6064 By Common Division

2	5612, 6064
2	2806, 3032
	1403, 1516

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

Greatest Common Factor of 5612,6064 By Matching Biggest Common Factor Method

Now, list down the factors of 5612

1,2,4,23,46,61,92,122,244,1403,2806,5612

Now, list down the factors of 6064

1,2,4,8,16,379,758,1516,3032,6064

Greatest Common Factor

We found the factors 5612,6064 . The biggest common factor number is the GCF number.
So the greatest common factor 5612,6064 is 4.

Lets's calculate LCM of 514,9749

Lowest Common Multiple of 514,9749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5010986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5010986

Therefore, the GCF of Fractions 5612/514,6064/9749 is 4/5010986

Least Common Multiple of 514,9749 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 514,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,9749) = 1

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

GCF(514,9749) x common factors =1 x 1 = 1

LCM(514,9749) = ( 514 × 9749 ) / 1

LCM(514,9749) = 5010986 / 1

LCM(514,9749) = 5010986

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FAQs on GCF of Fractions of 5612/514, 6064/9749

1. What is the HCF of 5612,6064?

The HCF of 5612,6064 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 5612/514, 6064/9749?

Answer: GCF of Numerators as per given numbers 5612/514, 6064/9749 is

GCF of Numerators i.e. for 5612,6064 is 4

LCM of denominators i.e. for 514,9749 is 5010986.

Thus, GCF of Fractions is 4/5010986.Finally, GCF of Fractions for 5612/514, 6064/9749 is 4/5010986.