Greatest Common Factor of 283/90, 345/57, 968/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 283/90, 345/57, 968/386

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 283/90,345/57,968/386

Given fractions are 283/90,345/57,968/386

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 283,345,968

Greatest Common Factor of Numerators i.e. GCF of 283,345,968 is 1 .

LCM of Denominators means LCM of 90,57,386 as per the given fractions.

LCM of 90,57,386 is 330030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 283,345,968

GCF of Fractions 283/90,345/57,968/386 is 1/330030

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

Greatest Common Factor of 283,345,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,345,968 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 283,345,968 . The biggest common factor number is the GCF number.
So the greatest common factor 283,345,968 is 1.

Lets's calculate LCM of 90,57,386

2 90, 57, 386
3 45, 57, 193
15, 19, 193

∴ So the LCM of the given numbers is 2 x 3 x 15 x 19 x 193 = 330030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330030

Therefore, the GCF of Fractions 283/90,345/57,968/386 is 1/330030

Least Common Multiple of 90,57,386 with GCF Formula

Least Common Multiple of 90,57,386 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 90,57,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,57,386) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(90,57,386) x common factors =1 x 6 = 6

LCM(90,57,386) = ( 90 × 57 × 386 ) / 6

LCM(90,57,386) = 1980180 / 6

LCM(90,57,386) = 330030


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 283/90, 345/57, 968/386

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 283/90, 345/57, 968/386?

Answer: GCF of Numerators as per given numbers 283/90, 345/57, 968/386 is

GCF of Numerators i.e. for 283,345,968 is 1

LCM of denominators i.e. for 90,57,386 is 330030.

Thus, GCF of Fractions is 1/330030.Finally, GCF of Fractions for 283/90, 345/57, 968/386 is 1/330030.