Greatest Common Factor of 6702/58, 8604/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6702/58, 8604/237

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 6702/58,8604/237

Given fractions are 6702/58,8604/237

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 6702,8604

Greatest Common Factor of Numerators i.e. GCF of 6702,8604 is 6 .

LCM of Denominators means LCM of 58,237 as per the given fractions.

LCM of 58,237 is 13746 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6702,8604

GCF of Fractions 6702/58,8604/237 is 6/13746

2 6702, 8604
3 3351, 4302
1117, 1434

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6702,8604 By Matching Biggest Common Factor Method

Greatest Common Factor of 6702,8604 By Matching Biggest Common Factor Method

Factors of 6702

List of positive integer factors of 6702 that divides 6702 without a remainder.

1,2,3,6,1117,2234,3351,6702

Factors of 8604

List of positive integer factors of 8604 that divides 8604 without a remainder.

1,2,3,4,6,9,12,18,36,239,478,717,956,1434,2151,2868,4302,8604

Greatest Common Factor

We found the factors 6702,8604 . The biggest common factor number is the GCF number.
So the greatest common factor 6702,8604 is 6.

Lets's calculate LCM of 58,237

Given numbers has no common factors except 1. So, there LCM is their product i.e 13746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/13746

Therefore, the GCF of Fractions 6702/58,8604/237 is 6/13746

Least Common Multiple of 58,237 with GCF Formula

Least Common Multiple of 58,237 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 58,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,237) = 1

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

GCF(58,237) x common factors =1 x 1 = 1

LCM(58,237) = ( 58 × 237 ) / 1

LCM(58,237) = 13746 / 1

LCM(58,237) = 13746


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 6702/58, 8604/237

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 6702/58, 8604/237?

Answer: GCF of Numerators as per given numbers 6702/58, 8604/237 is

GCF of Numerators i.e. for 6702,8604 is 6

LCM of denominators i.e. for 58,237 is 13746.

Thus, GCF of Fractions is 6/13746.Finally, GCF of Fractions for 6702/58, 8604/237 is 6/13746.