Greatest Common Factor of 1846/483, 9476/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1846/483, 9476/991

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 1846/483,9476/991

Given fractions are 1846/483,9476/991

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 1846,9476

Greatest Common Factor of Numerators i.e. GCF of 1846,9476 is 2 .

LCM of Denominators means LCM of 483,991 as per the given fractions.

LCM of 483,991 is 478653 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1846,9476

GCF of Fractions 1846/483,9476/991 is 2/478653

2 1846, 9476
923, 4738

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

Greatest Common Factor of 1846,9476 By Matching Biggest Common Factor Method

Greatest Common Factor of 1846,9476 By Matching Biggest Common Factor Method

Factors of 1846

List of positive integer factors of 1846 that divides 1846 without a remainder.

1,2,13,26,71,142,923,1846

Factors of 9476

List of positive integer factors of 9476 that divides 9476 without a remainder.

1,2,4,23,46,92,103,206,412,2369,4738,9476

Greatest Common Factor

We found the factors 1846,9476 . The biggest common factor number is the GCF number.
So the greatest common factor 1846,9476 is 2.

Lets's calculate LCM of 483,991

Given numbers has no common factors except 1. So, there LCM is their product i.e 478653

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/478653

Therefore, the GCF of Fractions 1846/483,9476/991 is 2/478653

Least Common Multiple of 483,991 with GCF Formula

Least Common Multiple of 483,991 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 483,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,991) = 1

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

GCF(483,991) x common factors =1 x 1 = 1

LCM(483,991) = ( 483 × 991 ) / 1

LCM(483,991) = 478653 / 1

LCM(483,991) = 478653


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 1846/483, 9476/991

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 1846/483, 9476/991?

Answer: GCF of Numerators as per given numbers 1846/483, 9476/991 is

GCF of Numerators i.e. for 1846,9476 is 2

LCM of denominators i.e. for 483,991 is 478653.

Thus, GCF of Fractions is 2/478653.Finally, GCF of Fractions for 1846/483, 9476/991 is 2/478653.