How to Find GCF of 9992/522, 3791/4091?

GCF of 9992/522, 3791/4091

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 9992/522, 3791/4091 i.e 1/2135502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9992/522, 3791/4091.

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 9992/522,3791/4091?

Given fractions are 9992/522,3791/4091

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 9992/522,3791/4091, numerators are 9992,3791

Denominators are 522,4091

The GCF of 9992,3791 is 1 .

LCM of 522,4091 is 2135502.

The greatest common factor of 9992/522,3791/4091 = [GCF of 9992,3791]/[LCM of 522,4091]= 1/2135502

Therefore, the GCF of 9992/522,3791/4091 is 1/2135502.

Greatest Common Factor of 9992,3791

To find the highest common factor of 9992,3791, we have to find the factors of both numbers and list the highest common factor.

The factors of 9992 are 1, 2, 4, 8, 1249, 2498, 4996, 9992

The factors of 3791 are 1, 17, 223, 3791

The HCF of 9992,3791 is 1.

Lets's calculate GCF of 9992,3791

Greatest Common Factor (GCF) of 9992,3791 By Common Division

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

Greatest Common Factor of 9992,3791 By Matching Biggest Common Factor Method

Now, list down the factors of 9992

1,2,4,8,1249,2498,4996,9992

Now, list down the factors of 3791

1,17,223,3791

Greatest Common Factor

We found the factors 9992,3791 . The biggest common factor number is the GCF number.
So the greatest common factor 9992,3791 is 1.

Lets's calculate LCM of 522,4091

Lowest Common Multiple of 522,4091 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2135502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2135502

Therefore, the GCF of Fractions 9992/522,3791/4091 is 1/2135502

Least Common Multiple of 522,4091 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 522,4091 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,4091) = 1

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

GCF(522,4091) x common factors =1 x 1 = 1

LCM(522,4091) = ( 522 × 4091 ) / 1

LCM(522,4091) = 2135502 / 1

LCM(522,4091) = 2135502

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FAQs on GCF of Fractions of 9992/522, 3791/4091

1. What is the HCF of 9992,3791?

The HCF of 9992,3791 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 9992/522, 3791/4091?

Answer: GCF of Numerators as per given numbers 9992/522, 3791/4091 is

GCF of Numerators i.e. for 9992,3791 is 1

LCM of denominators i.e. for 522,4091 is 2135502.

Thus, GCF of Fractions is 1/2135502.Finally, GCF of Fractions for 9992/522, 3791/4091 is 1/2135502.