Greatest Common Factor of 737/22, 803/1197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 737/22, 803/1197

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 737/22,803/1197

Given fractions are 737/22,803/1197

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 737,803

Greatest Common Factor of Numerators i.e. GCF of 737,803 is 11 .

LCM of Denominators means LCM of 22,1197 as per the given fractions.

LCM of 22,1197 is 26334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 737,803

GCF of Fractions 737/22,803/1197 is 11/26334

11 737, 803
67, 73

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 737,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,803 By Matching Biggest Common Factor Method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 737,803 . The biggest common factor number is the GCF number.
So the greatest common factor 737,803 is 11.

Lets's calculate LCM of 22,1197

Given numbers has no common factors except 1. So, there LCM is their product i.e 26334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/26334

Therefore, the GCF of Fractions 737/22,803/1197 is 11/26334

Least Common Multiple of 22,1197 with GCF Formula

Least Common Multiple of 22,1197 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 22,1197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,1197) = 1

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

GCF(22,1197) x common factors =1 x 1 = 1

LCM(22,1197) = ( 22 × 1197 ) / 1

LCM(22,1197) = 26334 / 1

LCM(22,1197) = 26334


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 737/22, 803/1197

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 737/22, 803/1197?

Answer: GCF of Numerators as per given numbers 737/22, 803/1197 is

GCF of Numerators i.e. for 737,803 is 11

LCM of denominators i.e. for 22,1197 is 26334.

Thus, GCF of Fractions is 11/26334.Finally, GCF of Fractions for 737/22, 803/1197 is 11/26334.