Greatest Common Factor of 380/1884, 212/9475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/1884, 212/9475

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 380/1884,212/9475

Given fractions are 380/1884,212/9475

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 380,212

Greatest Common Factor of Numerators i.e. GCF of 380,212 is 4 .

LCM of Denominators means LCM of 1884,9475 as per the given fractions.

LCM of 1884,9475 is 17850900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,212

GCF of Fractions 380/1884,212/9475 is 4/17850900

2 380, 212
2 190, 106
95, 53

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 380,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,212 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 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 380,212 . The biggest common factor number is the GCF number.
So the greatest common factor 380,212 is 4.

Lets's calculate LCM of 1884,9475

Given numbers has no common factors except 1. So, there LCM is their product i.e 17850900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17850900

Therefore, the GCF of Fractions 380/1884,212/9475 is 4/17850900

Least Common Multiple of 1884,9475 with GCF Formula

Least Common Multiple of 1884,9475 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 1884,9475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1884,9475) = 1

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

GCF(1884,9475) x common factors =1 x 1 = 1

LCM(1884,9475) = ( 1884 × 9475 ) / 1

LCM(1884,9475) = 17850900 / 1

LCM(1884,9475) = 17850900


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 380/1884, 212/9475

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 380/1884, 212/9475?

Answer: GCF of Numerators as per given numbers 380/1884, 212/9475 is

GCF of Numerators i.e. for 380,212 is 4

LCM of denominators i.e. for 1884,9475 is 17850900.

Thus, GCF of Fractions is 4/17850900.Finally, GCF of Fractions for 380/1884, 212/9475 is 4/17850900.