How to Find GCF of 4663/998, 7491/755?

GCF of 4663/998, 7491/755

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 4663/998, 7491/755 i.e 1/753490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4663/998, 7491/755.

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 4663/998,7491/755?

Given fractions are 4663/998,7491/755

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 4663/998,7491/755, numerators are 4663,7491

Denominators are 998,755

The GCF of 4663,7491 is 1 .

LCM of 998,755 is 753490.

The greatest common factor of 4663/998,7491/755 = [GCF of 4663,7491]/[LCM of 998,755]= 1/753490

Therefore, the GCF of 4663/998,7491/755 is 1/753490.

Greatest Common Factor of 4663,7491

To find the highest common factor of 4663,7491, we have to find the factors of both numbers and list the highest common factor.

The factors of 4663 are 1, 4663

The factors of 7491 are 1, 3, 11, 33, 227, 681, 2497, 7491

The HCF of 4663,7491 is 1.

Lets's calculate GCF of 4663,7491

Greatest Common Factor (GCF) of 4663,7491 By Common Division

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

Greatest Common Factor of 4663,7491 By Matching Biggest Common Factor Method

Now, list down the factors of 4663

1,4663

Now, list down the factors of 7491

1,3,11,33,227,681,2497,7491

Greatest Common Factor

We found the factors 4663,7491 . The biggest common factor number is the GCF number.
So the greatest common factor 4663,7491 is 1.

Lets's calculate LCM of 998,755

Lowest Common Multiple of 998,755 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 753490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/753490

Therefore, the GCF of Fractions 4663/998,7491/755 is 1/753490

Least Common Multiple of 998,755 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 998,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,755) = 1

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

GCF(998,755) x common factors =1 x 1 = 1

LCM(998,755) = ( 998 × 755 ) / 1

LCM(998,755) = 753490 / 1

LCM(998,755) = 753490

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FAQs on GCF of Fractions of 4663/998, 7491/755

1. What is the HCF of 4663,7491?

The HCF of 4663,7491 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 4663/998, 7491/755?

Answer: GCF of Numerators as per given numbers 4663/998, 7491/755 is

GCF of Numerators i.e. for 4663,7491 is 1

LCM of denominators i.e. for 998,755 is 753490.

Thus, GCF of Fractions is 1/753490.Finally, GCF of Fractions for 4663/998, 7491/755 is 1/753490.