Greatest Common Factor of 4686/997, 7616/3422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4686/997, 7616/3422

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 4686/997,7616/3422

Given fractions are 4686/997,7616/3422

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 4686,7616

Greatest Common Factor of Numerators i.e. GCF of 4686,7616 is 2 .

LCM of Denominators means LCM of 997,3422 as per the given fractions.

LCM of 997,3422 is 3411734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4686,7616

GCF of Fractions 4686/997,7616/3422 is 2/3411734

2 4686, 7616
2343, 3808

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

Greatest Common Factor of 4686,7616 By Matching Biggest Common Factor Method

Greatest Common Factor of 4686,7616 By Matching Biggest Common Factor Method

Factors of 4686

List of positive integer factors of 4686 that divides 4686 without a remainder.

1,2,3,6,11,22,33,66,71,142,213,426,781,1562,2343,4686

Factors of 7616

List of positive integer factors of 7616 that divides 7616 without a remainder.

1,2,4,7,8,14,16,17,28,32,34,56,64,68,112,119,136,224,238,272,448,476,544,952,1088,1904,3808,7616

Greatest Common Factor

We found the factors 4686,7616 . The biggest common factor number is the GCF number.
So the greatest common factor 4686,7616 is 2.

Lets's calculate LCM of 997,3422

Given numbers has no common factors except 1. So, there LCM is their product i.e 3411734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3411734

Therefore, the GCF of Fractions 4686/997,7616/3422 is 2/3411734

Least Common Multiple of 997,3422 with GCF Formula

Least Common Multiple of 997,3422 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 997,3422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,3422) = 1

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

GCF(997,3422) x common factors =1 x 1 = 1

LCM(997,3422) = ( 997 × 3422 ) / 1

LCM(997,3422) = 3411734 / 1

LCM(997,3422) = 3411734


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 4686/997, 7616/3422

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 4686/997, 7616/3422?

Answer: GCF of Numerators as per given numbers 4686/997, 7616/3422 is

GCF of Numerators i.e. for 4686,7616 is 2

LCM of denominators i.e. for 997,3422 is 3411734.

Thus, GCF of Fractions is 2/3411734.Finally, GCF of Fractions for 4686/997, 7616/3422 is 2/3411734.