Greatest Common Factor of 185/29, 740/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 185/29, 740/207

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 185/29,740/207

Given fractions are 185/29,740/207

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 185,740

Greatest Common Factor of Numerators i.e. GCF of 185,740 is 185 .

LCM of Denominators means LCM of 29,207 as per the given fractions.

LCM of 29,207 is 6003 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 185,740

GCF of Fractions 185/29,740/207 is 185/6003

5 185, 740
37 37, 148
1, 4

∴ So the GCF of the given numbers is 5 x 37 = 185

Greatest Common Factor of 185,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,740 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 185,740 . The biggest common factor number is the GCF number.
So the greatest common factor 185,740 is 185.

Lets's calculate LCM of 29,207

Given numbers has no common factors except 1. So, there LCM is their product i.e 6003

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 185/6003

Therefore, the GCF of Fractions 185/29,740/207 is 185/6003

Least Common Multiple of 29,207 with GCF Formula

Least Common Multiple of 29,207 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 29,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,207) = 1

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

GCF(29,207) x common factors =1 x 1 = 1

LCM(29,207) = ( 29 × 207 ) / 1

LCM(29,207) = 6003 / 1

LCM(29,207) = 6003


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 185/29, 740/207

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 185/29, 740/207?

Answer: GCF of Numerators as per given numbers 185/29, 740/207 is

GCF of Numerators i.e. for 185,740 is 185

LCM of denominators i.e. for 29,207 is 6003.

Thus, GCF of Fractions is 185/6003.Finally, GCF of Fractions for 185/29, 740/207 is 185/6003.