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GCF of 4993/472, 1002/756

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 4993/472, 1002/756 i.e 1/89208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4993/472, 1002/756.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4993/472,1002/756?

Given fractions are 4993/472,1002/756

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 4993/472,1002/756, numerators are 4993,1002

Denominators are 472,756

The GCF of 4993,1002 is 1 .

LCM of 472,756 is 89208.

The greatest common factor of 4993/472,1002/756 = [GCF of 4993,1002]/[LCM of 472,756]= 1/89208

Therefore, the GCF of 4993/472,1002/756 is 1/89208.

Greatest Common Factor of 4993,1002

To find the highest common factor of 4993,1002, we have to find the factors of both numbers and list the highest common factor.

The factors of 4993 are 1, 4993

The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002

The HCF of 4993,1002 is 1.

Lets's calculate GCF of 4993,1002

Greatest Common Factor (GCF) of 4993,1002 By Common Division

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

Greatest Common Factor of 4993,1002 By Matching Biggest Common Factor Method

Greatest Common Factor of 4993,1002 By Matching Biggest Common Factor Method

Now, list down the factors of 4993

:

1,4993

Now, list down the factors of 1002

:

1,2,3,6,167,334,501,1002

Greatest Common Factor

We found the factors 4993,1002 . The biggest common factor number is the GCF number.
So the greatest common factor 4993,1002 is 1.

Lets's calculate LCM of 472,756

Lowest Common Multiple of 472,756 using Common Division

2 472, 756
2 236, 378
118, 189

∴ So the LCM of the given numbers is 2 x 2 x 118 x 189 = 89208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89208

Therefore, the GCF of Fractions 4993/472,1002/756 is 1/89208

Least Common Multiple of 472,756 with GCF Formula

Least Common Multiple of 472,756 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 472,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,756) = 4

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

GCF(472,756) x common factors =4 x 1 = 4

LCM(472,756) = ( 472 × 756 ) / 4

LCM(472,756) = 356832 / 4

LCM(472,756) = 89208


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FAQs on GCF of Fractions of 4993/472, 1002/756

1. What is the HCF of 4993,1002?

The HCF of 4993,1002 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 4993/472, 1002/756?

Answer: GCF of Numerators as per given numbers 4993/472, 1002/756 is

GCF of Numerators i.e. for 4993,1002 is 1

LCM of denominators i.e. for 472,756 is 89208.

Thus, GCF of Fractions is 1/89208.Finally, GCF of Fractions for 4993/472, 1002/756 is 1/89208.