Greatest Common Factor of 1780/23, 9982/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1780/23, 9982/105

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 1780/23,9982/105

Given fractions are 1780/23,9982/105

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 1780,9982

Greatest Common Factor of Numerators i.e. GCF of 1780,9982 is 2 .

LCM of Denominators means LCM of 23,105 as per the given fractions.

LCM of 23,105 is 2415 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1780,9982

GCF of Fractions 1780/23,9982/105 is 2/2415

2 1780, 9982
890, 4991

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1780,9982 By Matching Biggest Common Factor Method

Greatest Common Factor of 1780,9982 By Matching Biggest Common Factor Method

Factors of 1780

List of positive integer factors of 1780 that divides 1780 without a remainder.

1,2,4,5,10,20,89,178,356,445,890,1780

Factors of 9982

List of positive integer factors of 9982 that divides 9982 without a remainder.

1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982

Greatest Common Factor

We found the factors 1780,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 1780,9982 is 2.

Lets's calculate LCM of 23,105

Given numbers has no common factors except 1. So, there LCM is their product i.e 2415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2415

Therefore, the GCF of Fractions 1780/23,9982/105 is 2/2415

Least Common Multiple of 23,105 with GCF Formula

Least Common Multiple of 23,105 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 23,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,105) = 1

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

GCF(23,105) x common factors =1 x 1 = 1

LCM(23,105) = ( 23 × 105 ) / 1

LCM(23,105) = 2415 / 1

LCM(23,105) = 2415


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 1780/23, 9982/105

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 1780/23, 9982/105?

Answer: GCF of Numerators as per given numbers 1780/23, 9982/105 is

GCF of Numerators i.e. for 1780,9982 is 2

LCM of denominators i.e. for 23,105 is 2415.

Thus, GCF of Fractions is 2/2415.Finally, GCF of Fractions for 1780/23, 9982/105 is 2/2415.