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GCF of 4989/664, 8753/7593

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 4989/664, 8753/7593 i.e 1/5041752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4989/664, 8753/7593.

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 4989/664,8753/7593?

Given fractions are 4989/664,8753/7593

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 4989/664,8753/7593, numerators are 4989,8753

Denominators are 664,7593

The GCF of 4989,8753 is 1 .

LCM of 664,7593 is 5041752.

The greatest common factor of 4989/664,8753/7593 = [GCF of 4989,8753]/[LCM of 664,7593]= 1/5041752

Therefore, the GCF of 4989/664,8753/7593 is 1/5041752.

Greatest Common Factor of 4989,8753

To find the highest common factor of 4989,8753, we have to find the factors of both numbers and list the highest common factor.

The factors of 4989 are 1, 3, 1663, 4989

The factors of 8753 are 1, 8753

The HCF of 4989,8753 is 1.

Lets's calculate GCF of 4989,8753

Greatest Common Factor (GCF) of 4989,8753 By Common Division

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

Greatest Common Factor of 4989,8753 By Matching Biggest Common Factor Method

Greatest Common Factor of 4989,8753 By Matching Biggest Common Factor Method

Now, list down the factors of 4989

:

1,3,1663,4989

Now, list down the factors of 8753

:

1,8753

Greatest Common Factor

We found the factors 4989,8753 . The biggest common factor number is the GCF number.
So the greatest common factor 4989,8753 is 1.

Lets's calculate LCM of 664,7593

Lowest Common Multiple of 664,7593 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5041752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5041752

Therefore, the GCF of Fractions 4989/664,8753/7593 is 1/5041752

Least Common Multiple of 664,7593 with GCF Formula

Least Common Multiple of 664,7593 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 664,7593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,7593) = 1

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

GCF(664,7593) x common factors =1 x 1 = 1

LCM(664,7593) = ( 664 × 7593 ) / 1

LCM(664,7593) = 5041752 / 1

LCM(664,7593) = 5041752


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4989/664, 8753/7593

1. What is the HCF of 4989,8753?

The HCF of 4989,8753 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 4989/664, 8753/7593?

Answer: GCF of Numerators as per given numbers 4989/664, 8753/7593 is

GCF of Numerators i.e. for 4989,8753 is 1

LCM of denominators i.e. for 664,7593 is 5041752.

Thus, GCF of Fractions is 1/5041752.Finally, GCF of Fractions for 4989/664, 8753/7593 is 1/5041752.