Greatest Common Factor of 218/239, 705/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 218/239, 705/695

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 218/239,705/695

Given fractions are 218/239,705/695

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 218,705

Greatest Common Factor of Numerators i.e. GCF of 218,705 is 1 .

LCM of Denominators means LCM of 239,695 as per the given fractions.

LCM of 239,695 is 166105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 218,705

GCF of Fractions 218/239,705/695 is 1/166105

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

Greatest Common Factor of 218,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,705 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 218,705 . The biggest common factor number is the GCF number.
So the greatest common factor 218,705 is 1.

Lets's calculate LCM of 239,695

Given numbers has no common factors except 1. So, there LCM is their product i.e 166105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166105

Therefore, the GCF of Fractions 218/239,705/695 is 1/166105

Least Common Multiple of 239,695 with GCF Formula

Least Common Multiple of 239,695 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 239,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,695) = 1

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

GCF(239,695) x common factors =1 x 1 = 1

LCM(239,695) = ( 239 × 695 ) / 1

LCM(239,695) = 166105 / 1

LCM(239,695) = 166105


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 218/239, 705/695

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 218/239, 705/695?

Answer: GCF of Numerators as per given numbers 218/239, 705/695 is

GCF of Numerators i.e. for 218,705 is 1

LCM of denominators i.e. for 239,695 is 166105.

Thus, GCF of Fractions is 1/166105.Finally, GCF of Fractions for 218/239, 705/695 is 1/166105.