How to Find GCF of 9916/392, 5109/992?

GCF of 9916/392, 5109/992

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 9916/392, 5109/992 i.e 1/48608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9916/392, 5109/992.

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 9916/392,5109/992?

Given fractions are 9916/392,5109/992

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 9916/392,5109/992, numerators are 9916,5109

Denominators are 392,992

The GCF of 9916,5109 is 1 .

LCM of 392,992 is 48608.

The greatest common factor of 9916/392,5109/992 = [GCF of 9916,5109]/[LCM of 392,992]= 1/48608

Therefore, the GCF of 9916/392,5109/992 is 1/48608.

Greatest Common Factor of 9916,5109

To find the highest common factor of 9916,5109, we have to find the factors of both numbers and list the highest common factor.

The factors of 9916 are 1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916

The factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109

The HCF of 9916,5109 is 1.

Lets's calculate GCF of 9916,5109

Greatest Common Factor (GCF) of 9916,5109 By Common Division

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

Greatest Common Factor of 9916,5109 By Matching Biggest Common Factor Method

Now, list down the factors of 9916

1,2,4,37,67,74,134,148,268,2479,4958,9916

Now, list down the factors of 5109

1,3,13,39,131,393,1703,5109

Greatest Common Factor

We found the factors 9916,5109 . The biggest common factor number is the GCF number.
So the greatest common factor 9916,5109 is 1.

Lets's calculate LCM of 392,992

Lowest Common Multiple of 392,992 using Common Division

2	392, 992
2	196, 496
2	98, 248
	49, 124

∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 124 = 48608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48608

Therefore, the GCF of Fractions 9916/392,5109/992 is 1/48608

Least Common Multiple of 392,992 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 392,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,992) = 8

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

GCF(392,992) x common factors =8 x 1 = 8

LCM(392,992) = ( 392 × 992 ) / 8

LCM(392,992) = 388864 / 8

LCM(392,992) = 48608

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FAQs on GCF of Fractions of 9916/392, 5109/992

1. What is the HCF of 9916,5109?

The HCF of 9916,5109 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 9916/392, 5109/992?

Answer: GCF of Numerators as per given numbers 9916/392, 5109/992 is

GCF of Numerators i.e. for 9916,5109 is 1

LCM of denominators i.e. for 392,992 is 48608.

Thus, GCF of Fractions is 1/48608.Finally, GCF of Fractions for 9916/392, 5109/992 is 1/48608.