Greatest Common Factor of 355/38, 3744/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 355/38, 3744/611

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 355/38,3744/611

Given fractions are 355/38,3744/611

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 355,3744

Greatest Common Factor of Numerators i.e. GCF of 355,3744 is 1 .

LCM of Denominators means LCM of 38,611 as per the given fractions.

LCM of 38,611 is 23218 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 355,3744

GCF of Fractions 355/38,3744/611 is 1/23218

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 355,3744 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,3744 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 3744

List of positive integer factors of 3744 that divides 3744 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744

Greatest Common Factor

We found the factors 355,3744 . The biggest common factor number is the GCF number.
So the greatest common factor 355,3744 is 1.

Lets's calculate LCM of 38,611

Given numbers has no common factors except 1. So, there LCM is their product i.e 23218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23218

Therefore, the GCF of Fractions 355/38,3744/611 is 1/23218

Least Common Multiple of 38,611 with GCF Formula

Least Common Multiple of 38,611 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 38,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,611) = 1

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

GCF(38,611) x common factors =1 x 1 = 1

LCM(38,611) = ( 38 × 611 ) / 1

LCM(38,611) = 23218 / 1

LCM(38,611) = 23218


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 355/38, 3744/611

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 355/38, 3744/611?

Answer: GCF of Numerators as per given numbers 355/38, 3744/611 is

GCF of Numerators i.e. for 355,3744 is 1

LCM of denominators i.e. for 38,611 is 23218.

Thus, GCF of Fractions is 1/23218.Finally, GCF of Fractions for 355/38, 3744/611 is 1/23218.