Greatest Common Factor of 1722/805, 3021/9817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1722/805, 3021/9817

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 1722/805,3021/9817

Given fractions are 1722/805,3021/9817

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 1722,3021

Greatest Common Factor of Numerators i.e. GCF of 1722,3021 is 3 .

LCM of Denominators means LCM of 805,9817 as per the given fractions.

LCM of 805,9817 is 7902685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1722,3021

GCF of Fractions 1722/805,3021/9817 is 3/7902685

3 1722, 3021
574, 1007

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1722,3021 By Matching Biggest Common Factor Method

Greatest Common Factor of 1722,3021 By Matching Biggest Common Factor Method

Factors of 1722

List of positive integer factors of 1722 that divides 1722 without a remainder.

1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722

Factors of 3021

List of positive integer factors of 3021 that divides 3021 without a remainder.

1,3,19,53,57,159,1007,3021

Greatest Common Factor

We found the factors 1722,3021 . The biggest common factor number is the GCF number.
So the greatest common factor 1722,3021 is 3.

Lets's calculate LCM of 805,9817

Given numbers has no common factors except 1. So, there LCM is their product i.e 7902685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7902685

Therefore, the GCF of Fractions 1722/805,3021/9817 is 3/7902685

Least Common Multiple of 805,9817 with GCF Formula

Least Common Multiple of 805,9817 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 805,9817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,9817) = 1

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

GCF(805,9817) x common factors =1 x 1 = 1

LCM(805,9817) = ( 805 × 9817 ) / 1

LCM(805,9817) = 7902685 / 1

LCM(805,9817) = 7902685


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 1722/805, 3021/9817

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 1722/805, 3021/9817?

Answer: GCF of Numerators as per given numbers 1722/805, 3021/9817 is

GCF of Numerators i.e. for 1722,3021 is 3

LCM of denominators i.e. for 805,9817 is 7902685.

Thus, GCF of Fractions is 3/7902685.Finally, GCF of Fractions for 1722/805, 3021/9817 is 3/7902685.