Greatest Common Factor of 1840/71, 1863/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1840/71, 1863/750

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 1840/71,1863/750

Given fractions are 1840/71,1863/750

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 1840,1863

Greatest Common Factor of Numerators i.e. GCF of 1840,1863 is 23 .

LCM of Denominators means LCM of 71,750 as per the given fractions.

LCM of 71,750 is 53250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1840,1863

GCF of Fractions 1840/71,1863/750 is 23/53250

23 1840, 1863
80, 81

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 1840,1863 By Matching Biggest Common Factor Method

Greatest Common Factor of 1840,1863 By Matching Biggest Common Factor Method

Factors of 1840

List of positive integer factors of 1840 that divides 1840 without a remainder.

1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840

Factors of 1863

List of positive integer factors of 1863 that divides 1863 without a remainder.

1,3,9,23,27,69,81,207,621,1863

Greatest Common Factor

We found the factors 1840,1863 . The biggest common factor number is the GCF number.
So the greatest common factor 1840,1863 is 23.

Lets's calculate LCM of 71,750

Given numbers has no common factors except 1. So, there LCM is their product i.e 53250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/53250

Therefore, the GCF of Fractions 1840/71,1863/750 is 23/53250

Least Common Multiple of 71,750 with GCF Formula

Least Common Multiple of 71,750 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 71,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,750) = 1

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

GCF(71,750) x common factors =1 x 1 = 1

LCM(71,750) = ( 71 × 750 ) / 1

LCM(71,750) = 53250 / 1

LCM(71,750) = 53250


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 1840/71, 1863/750

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 1840/71, 1863/750?

Answer: GCF of Numerators as per given numbers 1840/71, 1863/750 is

GCF of Numerators i.e. for 1840,1863 is 23

LCM of denominators i.e. for 71,750 is 53250.

Thus, GCF of Fractions is 23/53250.Finally, GCF of Fractions for 1840/71, 1863/750 is 23/53250.