Greatest Common Factor of 1223/108, 8207/1735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1223/108, 8207/1735

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 1223/108,8207/1735

Given fractions are 1223/108,8207/1735

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 1223,8207

Greatest Common Factor of Numerators i.e. GCF of 1223,8207 is 1 .

LCM of Denominators means LCM of 108,1735 as per the given fractions.

LCM of 108,1735 is 187380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1223,8207

GCF of Fractions 1223/108,8207/1735 is 1/187380

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

Greatest Common Factor of 1223,8207 By Matching Biggest Common Factor Method

Greatest Common Factor of 1223,8207 By Matching Biggest Common Factor Method

Factors of 1223

List of positive integer factors of 1223 that divides 1223 without a remainder.

1,1223

Factors of 8207

List of positive integer factors of 8207 that divides 8207 without a remainder.

1,29,283,8207

Greatest Common Factor

We found the factors 1223,8207 . The biggest common factor number is the GCF number.
So the greatest common factor 1223,8207 is 1.

Lets's calculate LCM of 108,1735

Given numbers has no common factors except 1. So, there LCM is their product i.e 187380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187380

Therefore, the GCF of Fractions 1223/108,8207/1735 is 1/187380

Least Common Multiple of 108,1735 with GCF Formula

Least Common Multiple of 108,1735 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 108,1735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,1735) = 1

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

GCF(108,1735) x common factors =1 x 1 = 1

LCM(108,1735) = ( 108 × 1735 ) / 1

LCM(108,1735) = 187380 / 1

LCM(108,1735) = 187380


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 1223/108, 8207/1735

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 1223/108, 8207/1735?

Answer: GCF of Numerators as per given numbers 1223/108, 8207/1735 is

GCF of Numerators i.e. for 1223,8207 is 1

LCM of denominators i.e. for 108,1735 is 187380.

Thus, GCF of Fractions is 1/187380.Finally, GCF of Fractions for 1223/108, 8207/1735 is 1/187380.