Greatest Common Factor of 1217/731, 2224/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1217/731, 2224/707

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 1217/731,2224/707

Given fractions are 1217/731,2224/707

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 1217,2224

Greatest Common Factor of Numerators i.e. GCF of 1217,2224 is 1 .

LCM of Denominators means LCM of 731,707 as per the given fractions.

LCM of 731,707 is 516817 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1217,2224

GCF of Fractions 1217/731,2224/707 is 1/516817

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

Greatest Common Factor of 1217,2224 By Matching Biggest Common Factor Method

Greatest Common Factor of 1217,2224 By Matching Biggest Common Factor Method

Factors of 1217

List of positive integer factors of 1217 that divides 1217 without a remainder.

1,1217

Factors of 2224

List of positive integer factors of 2224 that divides 2224 without a remainder.

1,2,4,8,16,139,278,556,1112,2224

Greatest Common Factor

We found the factors 1217,2224 . The biggest common factor number is the GCF number.
So the greatest common factor 1217,2224 is 1.

Lets's calculate LCM of 731,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 516817

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516817

Therefore, the GCF of Fractions 1217/731,2224/707 is 1/516817

Least Common Multiple of 731,707 with GCF Formula

Least Common Multiple of 731,707 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 731,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,707) = 1

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

GCF(731,707) x common factors =1 x 1 = 1

LCM(731,707) = ( 731 × 707 ) / 1

LCM(731,707) = 516817 / 1

LCM(731,707) = 516817


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 1217/731, 2224/707

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 1217/731, 2224/707?

Answer: GCF of Numerators as per given numbers 1217/731, 2224/707 is

GCF of Numerators i.e. for 1217,2224 is 1

LCM of denominators i.e. for 731,707 is 516817.

Thus, GCF of Fractions is 1/516817.Finally, GCF of Fractions for 1217/731, 2224/707 is 1/516817.