Greatest Common Factor of 3670/53, 3002/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3670/53, 3002/116

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 3670/53,3002/116

Given fractions are 3670/53,3002/116

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 3670,3002

Greatest Common Factor of Numerators i.e. GCF of 3670,3002 is 2 .

LCM of Denominators means LCM of 53,116 as per the given fractions.

LCM of 53,116 is 6148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3670,3002

GCF of Fractions 3670/53,3002/116 is 2/6148

2 3670, 3002
1835, 1501

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

Greatest Common Factor of 3670,3002 By Matching Biggest Common Factor Method

Greatest Common Factor of 3670,3002 By Matching Biggest Common Factor Method

Factors of 3670

List of positive integer factors of 3670 that divides 3670 without a remainder.

1,2,5,10,367,734,1835,3670

Factors of 3002

List of positive integer factors of 3002 that divides 3002 without a remainder.

1,2,19,38,79,158,1501,3002

Greatest Common Factor

We found the factors 3670,3002 . The biggest common factor number is the GCF number.
So the greatest common factor 3670,3002 is 2.

Lets's calculate LCM of 53,116

Given numbers has no common factors except 1. So, there LCM is their product i.e 6148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6148

Therefore, the GCF of Fractions 3670/53,3002/116 is 2/6148

Least Common Multiple of 53,116 with GCF Formula

Least Common Multiple of 53,116 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 53,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,116) = 1

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

GCF(53,116) x common factors =1 x 1 = 1

LCM(53,116) = ( 53 × 116 ) / 1

LCM(53,116) = 6148 / 1

LCM(53,116) = 6148


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 3670/53, 3002/116

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 3670/53, 3002/116?

Answer: GCF of Numerators as per given numbers 3670/53, 3002/116 is

GCF of Numerators i.e. for 3670,3002 is 2

LCM of denominators i.e. for 53,116 is 6148.

Thus, GCF of Fractions is 2/6148.Finally, GCF of Fractions for 3670/53, 3002/116 is 2/6148.