Greatest Common Factor of 3616/33, 2882/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3616/33, 2882/997

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3616/33,2882/997

Given fractions are 3616/33,2882/997

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3616,2882

Greatest Common Factor of Numerators i.e. GCF of 3616,2882 is 2 .

LCM of Denominators means LCM of 33,997 as per the given fractions.

LCM of 33,997 is 32901 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3616,2882

GCF of Fractions 3616/33,2882/997 is 2/32901

2 3616, 2882
1808, 1441

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3616,2882 By Matching Biggest Common Factor Method

Greatest Common Factor of 3616,2882 By Matching Biggest Common Factor Method

Factors of 3616

List of positive integer factors of 3616 that divides 3616 without a remainder.

1,2,4,8,16,32,113,226,452,904,1808,3616

Factors of 2882

List of positive integer factors of 2882 that divides 2882 without a remainder.

1,2,11,22,131,262,1441,2882

Greatest Common Factor

We found the factors 3616,2882 . The biggest common factor number is the GCF number.
So the greatest common factor 3616,2882 is 2.

Lets's calculate LCM of 33,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 32901

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32901

Therefore, the GCF of Fractions 3616/33,2882/997 is 2/32901

Least Common Multiple of 33,997 with GCF Formula

Least Common Multiple of 33,997 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 33,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,997) = 1

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

GCF(33,997) x common factors =1 x 1 = 1

LCM(33,997) = ( 33 × 997 ) / 1

LCM(33,997) = 32901 / 1

LCM(33,997) = 32901


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3616/33, 2882/997

1. 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.

2. What is the GCF of Fractions for 3616/33, 2882/997?

Answer: GCF of Numerators as per given numbers 3616/33, 2882/997 is

GCF of Numerators i.e. for 3616,2882 is 2

LCM of denominators i.e. for 33,997 is 32901.

Thus, GCF of Fractions is 2/32901.Finally, GCF of Fractions for 3616/33, 2882/997 is 2/32901.