How to Find GCF of 9943/999, 5963/2524?

GCF of 9943/999, 5963/2524

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 9943/999, 5963/2524 i.e 1/2521476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9943/999, 5963/2524.

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 9943/999,5963/2524?

Given fractions are 9943/999,5963/2524

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 9943/999,5963/2524, numerators are 9943,5963

Denominators are 999,2524

The GCF of 9943,5963 is 1 .

LCM of 999,2524 is 2521476.

The greatest common factor of 9943/999,5963/2524 = [GCF of 9943,5963]/[LCM of 999,2524]= 1/2521476

Therefore, the GCF of 9943/999,5963/2524 is 1/2521476.

Greatest Common Factor of 9943,5963

To find the highest common factor of 9943,5963, we have to find the factors of both numbers and list the highest common factor.

The factors of 9943 are 1, 61, 163, 9943

The factors of 5963 are 1, 67, 89, 5963

The HCF of 9943,5963 is 1.

Lets's calculate GCF of 9943,5963

Greatest Common Factor (GCF) of 9943,5963 By Common Division

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

Greatest Common Factor of 9943,5963 By Matching Biggest Common Factor Method

Now, list down the factors of 9943

1,61,163,9943

Now, list down the factors of 5963

1,67,89,5963

Greatest Common Factor

We found the factors 9943,5963 . The biggest common factor number is the GCF number.
So the greatest common factor 9943,5963 is 1.

Lets's calculate LCM of 999,2524

Lowest Common Multiple of 999,2524 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2521476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2521476

Therefore, the GCF of Fractions 9943/999,5963/2524 is 1/2521476

Least Common Multiple of 999,2524 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 999,2524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,2524) = 1

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

GCF(999,2524) x common factors =1 x 1 = 1

LCM(999,2524) = ( 999 × 2524 ) / 1

LCM(999,2524) = 2521476 / 1

LCM(999,2524) = 2521476

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FAQs on GCF of Fractions of 9943/999, 5963/2524

1. What is the HCF of 9943,5963?

The HCF of 9943,5963 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 9943/999, 5963/2524?

Answer: GCF of Numerators as per given numbers 9943/999, 5963/2524 is

GCF of Numerators i.e. for 9943,5963 is 1

LCM of denominators i.e. for 999,2524 is 2521476.

Thus, GCF of Fractions is 1/2521476.Finally, GCF of Fractions for 9943/999, 5963/2524 is 1/2521476.