Greatest Common Factor of 869/613, 737/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 869/613, 737/803

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 869/613,737/803

Given fractions are 869/613,737/803

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 869,737

Greatest Common Factor of Numerators i.e. GCF of 869,737 is 11 .

LCM of Denominators means LCM of 613,803 as per the given fractions.

LCM of 613,803 is 492239 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 869,737

GCF of Fractions 869/613,737/803 is 11/492239

11 869, 737
79, 67

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

Greatest Common Factor of 869,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,737 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 737

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

1,11,67,737

Greatest Common Factor

We found the factors 869,737 . The biggest common factor number is the GCF number.
So the greatest common factor 869,737 is 11.

Lets's calculate LCM of 613,803

Given numbers has no common factors except 1. So, there LCM is their product i.e 492239

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/492239

Therefore, the GCF of Fractions 869/613,737/803 is 11/492239

Least Common Multiple of 613,803 with GCF Formula

Least Common Multiple of 613,803 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 613,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,803) = 1

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

GCF(613,803) x common factors =1 x 1 = 1

LCM(613,803) = ( 613 × 803 ) / 1

LCM(613,803) = 492239 / 1

LCM(613,803) = 492239


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 869/613, 737/803

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 869/613, 737/803?

Answer: GCF of Numerators as per given numbers 869/613, 737/803 is

GCF of Numerators i.e. for 869,737 is 11

LCM of denominators i.e. for 613,803 is 492239.

Thus, GCF of Fractions is 11/492239.Finally, GCF of Fractions for 869/613, 737/803 is 11/492239.