Greatest Common Factor of 380/23, 275/18, 745/41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/23, 275/18, 745/41

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 380/23,275/18,745/41

Given fractions are 380/23,275/18,745/41

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 380,275,745

Greatest Common Factor of Numerators i.e. GCF of 380,275,745 is 5 .

LCM of Denominators means LCM of 23,18,41 as per the given fractions.

LCM of 23,18,41 is 16974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,275,745

GCF of Fractions 380/23,275/18,745/41 is 5/16974

5 380, 275, 745
76, 55, 149

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 380,275,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,275,745 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 380,275,745 . The biggest common factor number is the GCF number.
So the greatest common factor 380,275,745 is 5.

Lets's calculate LCM of 23,18,41

Given numbers has no common factors except 1. So, there LCM is their product i.e 16974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/16974

Therefore, the GCF of Fractions 380/23,275/18,745/41 is 5/16974

Least Common Multiple of 23,18,41 with GCF Formula

Least Common Multiple of 23,18,41 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 23,18,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,18,41) = 1

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

GCF(23,18,41) x common factors =1 x 1 = 1

LCM(23,18,41) = ( 23 × 18 × 41 ) / 1

LCM(23,18,41) = 16974 / 1

LCM(23,18,41) = 16974


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 380/23, 275/18, 745/41

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 380/23, 275/18, 745/41?

Answer: GCF of Numerators as per given numbers 380/23, 275/18, 745/41 is

GCF of Numerators i.e. for 380,275,745 is 5

LCM of denominators i.e. for 23,18,41 is 16974.

Thus, GCF of Fractions is 5/16974.Finally, GCF of Fractions for 380/23, 275/18, 745/41 is 5/16974.