How to Find GCF of 1623/479, 9989/6981?

GCF of 1623/479, 9989/6981

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 1623/479, 9989/6981 i.e 1/3343899 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1623/479, 9989/6981.

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 1623/479,9989/6981?

Given fractions are 1623/479,9989/6981

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 1623/479,9989/6981, numerators are 1623,9989

Denominators are 479,6981

The GCF of 1623,9989 is 1 .

LCM of 479,6981 is 3343899.

The greatest common factor of 1623/479,9989/6981 = [GCF of 1623,9989]/[LCM of 479,6981]= 1/3343899

Therefore, the GCF of 1623/479,9989/6981 is 1/3343899.

Greatest Common Factor of 1623,9989

To find the highest common factor of 1623,9989, we have to find the factors of both numbers and list the highest common factor.

The factors of 1623 are 1, 3, 541, 1623

The factors of 9989 are 1, 7, 1427, 9989

The HCF of 1623,9989 is 1.

Lets's calculate GCF of 1623,9989

Greatest Common Factor (GCF) of 1623,9989 By Common Division

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

Greatest Common Factor of 1623,9989 By Matching Biggest Common Factor Method

Now, list down the factors of 1623

1,3,541,1623

Now, list down the factors of 9989

1,7,1427,9989

Greatest Common Factor

We found the factors 1623,9989 . The biggest common factor number is the GCF number.
So the greatest common factor 1623,9989 is 1.

Lets's calculate LCM of 479,6981

Lowest Common Multiple of 479,6981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3343899

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3343899

Therefore, the GCF of Fractions 1623/479,9989/6981 is 1/3343899

Least Common Multiple of 479,6981 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 479,6981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,6981) = 1

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

GCF(479,6981) x common factors =1 x 1 = 1

LCM(479,6981) = ( 479 × 6981 ) / 1

LCM(479,6981) = 3343899 / 1

LCM(479,6981) = 3343899

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FAQs on GCF of Fractions of 1623/479, 9989/6981

1. What is the HCF of 1623,9989?

The HCF of 1623,9989 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 1623/479, 9989/6981?

Answer: GCF of Numerators as per given numbers 1623/479, 9989/6981 is

GCF of Numerators i.e. for 1623,9989 is 1

LCM of denominators i.e. for 479,6981 is 3343899.

Thus, GCF of Fractions is 1/3343899.Finally, GCF of Fractions for 1623/479, 9989/6981 is 1/3343899.