How to Find GCF of 2091/345, 9916/976?

GCF of 2091/345, 9916/976

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 2091/345, 9916/976 i.e 1/336720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2091/345, 9916/976.

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 2091/345,9916/976?

Given fractions are 2091/345,9916/976

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 2091/345,9916/976, numerators are 2091,9916

Denominators are 345,976

The GCF of 2091,9916 is 1 .

LCM of 345,976 is 336720.

The greatest common factor of 2091/345,9916/976 = [GCF of 2091,9916]/[LCM of 345,976]= 1/336720

Therefore, the GCF of 2091/345,9916/976 is 1/336720.

Greatest Common Factor of 2091,9916

To find the highest common factor of 2091,9916, we have to find the factors of both numbers and list the highest common factor.

The factors of 2091 are 1, 3, 17, 41, 51, 123, 697, 2091

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

The HCF of 2091,9916 is 1.

Lets's calculate GCF of 2091,9916

Greatest Common Factor (GCF) of 2091,9916 By Common Division

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

Greatest Common Factor of 2091,9916 By Matching Biggest Common Factor Method

Now, list down the factors of 2091

1,3,17,41,51,123,697,2091

Now, list down the factors of 9916

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

Greatest Common Factor

We found the factors 2091,9916 . The biggest common factor number is the GCF number.
So the greatest common factor 2091,9916 is 1.

Lets's calculate LCM of 345,976

Lowest Common Multiple of 345,976 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 336720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336720

Therefore, the GCF of Fractions 2091/345,9916/976 is 1/336720

Least Common Multiple of 345,976 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 345,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,976) = 1

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

GCF(345,976) x common factors =1 x 1 = 1

LCM(345,976) = ( 345 × 976 ) / 1

LCM(345,976) = 336720 / 1

LCM(345,976) = 336720

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2091/345, 9916/976

1. What is the HCF of 2091,9916?

The HCF of 2091,9916 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 2091/345, 9916/976?

Answer: GCF of Numerators as per given numbers 2091/345, 9916/976 is

GCF of Numerators i.e. for 2091,9916 is 1

LCM of denominators i.e. for 345,976 is 336720.

Thus, GCF of Fractions is 1/336720.Finally, GCF of Fractions for 2091/345, 9916/976 is 1/336720.