Greatest Common Factor of 3494/111, 4070/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3494/111, 4070/238

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 3494/111,4070/238

Given fractions are 3494/111,4070/238

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 3494,4070

Greatest Common Factor of Numerators i.e. GCF of 3494,4070 is 2 .

LCM of Denominators means LCM of 111,238 as per the given fractions.

LCM of 111,238 is 26418 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3494,4070

GCF of Fractions 3494/111,4070/238 is 2/26418

2 3494, 4070
1747, 2035

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

Greatest Common Factor of 3494,4070 By Matching Biggest Common Factor Method

Greatest Common Factor of 3494,4070 By Matching Biggest Common Factor Method

Factors of 3494

List of positive integer factors of 3494 that divides 3494 without a remainder.

1,2,1747,3494

Factors of 4070

List of positive integer factors of 4070 that divides 4070 without a remainder.

1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070

Greatest Common Factor

We found the factors 3494,4070 . The biggest common factor number is the GCF number.
So the greatest common factor 3494,4070 is 2.

Lets's calculate LCM of 111,238

Given numbers has no common factors except 1. So, there LCM is their product i.e 26418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26418

Therefore, the GCF of Fractions 3494/111,4070/238 is 2/26418

Least Common Multiple of 111,238 with GCF Formula

Least Common Multiple of 111,238 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 111,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,238) = 1

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

GCF(111,238) x common factors =1 x 1 = 1

LCM(111,238) = ( 111 × 238 ) / 1

LCM(111,238) = 26418 / 1

LCM(111,238) = 26418


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 3494/111, 4070/238

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 3494/111, 4070/238?

Answer: GCF of Numerators as per given numbers 3494/111, 4070/238 is

GCF of Numerators i.e. for 3494,4070 is 2

LCM of denominators i.e. for 111,238 is 26418.

Thus, GCF of Fractions is 2/26418.Finally, GCF of Fractions for 3494/111, 4070/238 is 2/26418.