Greatest Common Factor of 1633/691, 9837/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1633/691, 9837/114

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 1633/691,9837/114

Given fractions are 1633/691,9837/114

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 1633,9837

Greatest Common Factor of Numerators i.e. GCF of 1633,9837 is 1 .

LCM of Denominators means LCM of 691,114 as per the given fractions.

LCM of 691,114 is 78774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1633,9837

GCF of Fractions 1633/691,9837/114 is 1/78774

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

Greatest Common Factor of 1633,9837 By Matching Biggest Common Factor Method

Greatest Common Factor of 1633,9837 By Matching Biggest Common Factor Method

Factors of 1633

List of positive integer factors of 1633 that divides 1633 without a remainder.

1,23,71,1633

Factors of 9837

List of positive integer factors of 9837 that divides 9837 without a remainder.

1,3,9,1093,3279,9837

Greatest Common Factor

We found the factors 1633,9837 . The biggest common factor number is the GCF number.
So the greatest common factor 1633,9837 is 1.

Lets's calculate LCM of 691,114

Given numbers has no common factors except 1. So, there LCM is their product i.e 78774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78774

Therefore, the GCF of Fractions 1633/691,9837/114 is 1/78774

Least Common Multiple of 691,114 with GCF Formula

Least Common Multiple of 691,114 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 691,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,114) = 1

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

GCF(691,114) x common factors =1 x 1 = 1

LCM(691,114) = ( 691 × 114 ) / 1

LCM(691,114) = 78774 / 1

LCM(691,114) = 78774


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 1633/691, 9837/114

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 1633/691, 9837/114?

Answer: GCF of Numerators as per given numbers 1633/691, 9837/114 is

GCF of Numerators i.e. for 1633,9837 is 1

LCM of denominators i.e. for 691,114 is 78774.

Thus, GCF of Fractions is 1/78774.Finally, GCF of Fractions for 1633/691, 9837/114 is 1/78774.