Greatest Common Factor of 380/61, 8042/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/61, 8042/475

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 380/61,8042/475

Given fractions are 380/61,8042/475

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 380,8042

Greatest Common Factor of Numerators i.e. GCF of 380,8042 is 2 .

LCM of Denominators means LCM of 61,475 as per the given fractions.

LCM of 61,475 is 28975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,8042

GCF of Fractions 380/61,8042/475 is 2/28975

2 380, 8042
190, 4021

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

Greatest Common Factor of 380,8042 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,8042 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 8042

List of positive integer factors of 8042 that divides 8042 without a remainder.

1,2,4021,8042

Greatest Common Factor

We found the factors 380,8042 . The biggest common factor number is the GCF number.
So the greatest common factor 380,8042 is 2.

Lets's calculate LCM of 61,475

Given numbers has no common factors except 1. So, there LCM is their product i.e 28975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28975

Therefore, the GCF of Fractions 380/61,8042/475 is 2/28975

Least Common Multiple of 61,475 with GCF Formula

Least Common Multiple of 61,475 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 61,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,475) = 1

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

GCF(61,475) x common factors =1 x 1 = 1

LCM(61,475) = ( 61 × 475 ) / 1

LCM(61,475) = 28975 / 1

LCM(61,475) = 28975


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 380/61, 8042/475

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 380/61, 8042/475?

Answer: GCF of Numerators as per given numbers 380/61, 8042/475 is

GCF of Numerators i.e. for 380,8042 is 2

LCM of denominators i.e. for 61,475 is 28975.

Thus, GCF of Fractions is 2/28975.Finally, GCF of Fractions for 380/61, 8042/475 is 2/28975.