Greatest Common Factor of 365/35, 214/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/35, 214/863

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 365/35,214/863

Given fractions are 365/35,214/863

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 365,214

Greatest Common Factor of Numerators i.e. GCF of 365,214 is 1 .

LCM of Denominators means LCM of 35,863 as per the given fractions.

LCM of 35,863 is 30205 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,214

GCF of Fractions 365/35,214/863 is 1/30205

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

Greatest Common Factor of 365,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,214 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 365,214 . The biggest common factor number is the GCF number.
So the greatest common factor 365,214 is 1.

Lets's calculate LCM of 35,863

Given numbers has no common factors except 1. So, there LCM is their product i.e 30205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30205

Therefore, the GCF of Fractions 365/35,214/863 is 1/30205

Least Common Multiple of 35,863 with GCF Formula

Least Common Multiple of 35,863 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 35,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,863) = 1

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

GCF(35,863) x common factors =1 x 1 = 1

LCM(35,863) = ( 35 × 863 ) / 1

LCM(35,863) = 30205 / 1

LCM(35,863) = 30205


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 365/35, 214/863

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 365/35, 214/863?

Answer: GCF of Numerators as per given numbers 365/35, 214/863 is

GCF of Numerators i.e. for 365,214 is 1

LCM of denominators i.e. for 35,863 is 30205.

Thus, GCF of Fractions is 1/30205.Finally, GCF of Fractions for 365/35, 214/863 is 1/30205.