Greatest Common Factor of 3738/34, 9950/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3738/34, 9950/119

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 3738/34,9950/119

Given fractions are 3738/34,9950/119

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 3738,9950

Greatest Common Factor of Numerators i.e. GCF of 3738,9950 is 2 .

LCM of Denominators means LCM of 34,119 as per the given fractions.

LCM of 34,119 is 238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3738,9950

GCF of Fractions 3738/34,9950/119 is 2/238

2 3738, 9950
1869, 4975

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

Greatest Common Factor of 3738,9950 By Matching Biggest Common Factor Method

Greatest Common Factor of 3738,9950 By Matching Biggest Common Factor Method

Factors of 3738

List of positive integer factors of 3738 that divides 3738 without a remainder.

1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738

Factors of 9950

List of positive integer factors of 9950 that divides 9950 without a remainder.

1,2,5,10,25,50,199,398,995,1990,4975,9950

Greatest Common Factor

We found the factors 3738,9950 . The biggest common factor number is the GCF number.
So the greatest common factor 3738,9950 is 2.

Lets's calculate LCM of 34,119

17 34, 119
2, 7

∴ So the LCM of the given numbers is 17 x 2 x 7 = 238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/238

Therefore, the GCF of Fractions 3738/34,9950/119 is 2/238

Least Common Multiple of 34,119 with GCF Formula

Least Common Multiple of 34,119 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 34,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,119) = 17

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

GCF(34,119) x common factors =17 x 1 = 17

LCM(34,119) = ( 34 × 119 ) / 17

LCM(34,119) = 4046 / 17

LCM(34,119) = 238


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 3738/34, 9950/119

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 3738/34, 9950/119?

Answer: GCF of Numerators as per given numbers 3738/34, 9950/119 is

GCF of Numerators i.e. for 3738,9950 is 2

LCM of denominators i.e. for 34,119 is 238.

Thus, GCF of Fractions is 2/238.Finally, GCF of Fractions for 3738/34, 9950/119 is 2/238.