Greatest Common Factor of 1223/997, 7210/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1223/997, 7210/374

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 1223/997,7210/374

Given fractions are 1223/997,7210/374

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 1223,7210

Greatest Common Factor of Numerators i.e. GCF of 1223,7210 is 1 .

LCM of Denominators means LCM of 997,374 as per the given fractions.

LCM of 997,374 is 372878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1223,7210

GCF of Fractions 1223/997,7210/374 is 1/372878

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

Greatest Common Factor of 1223,7210 By Matching Biggest Common Factor Method

Greatest Common Factor of 1223,7210 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 7210

List of positive integer factors of 7210 that divides 7210 without a remainder.

1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210

Greatest Common Factor

We found the factors 1223,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 1223,7210 is 1.

Lets's calculate LCM of 997,374

Given numbers has no common factors except 1. So, there LCM is their product i.e 372878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372878

Therefore, the GCF of Fractions 1223/997,7210/374 is 1/372878

Least Common Multiple of 997,374 with GCF Formula

Least Common Multiple of 997,374 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 997,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,374) = 1

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

GCF(997,374) x common factors =1 x 1 = 1

LCM(997,374) = ( 997 × 374 ) / 1

LCM(997,374) = 372878 / 1

LCM(997,374) = 372878


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 1223/997, 7210/374

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 1223/997, 7210/374?

Answer: GCF of Numerators as per given numbers 1223/997, 7210/374 is

GCF of Numerators i.e. for 1223,7210 is 1

LCM of denominators i.e. for 997,374 is 372878.

Thus, GCF of Fractions is 1/372878.Finally, GCF of Fractions for 1223/997, 7210/374 is 1/372878.