Greatest Common Factor of 4460/451, 1880/5733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4460/451, 1880/5733

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 4460/451,1880/5733

Given fractions are 4460/451,1880/5733

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 4460,1880

Greatest Common Factor of Numerators i.e. GCF of 4460,1880 is 20 .

LCM of Denominators means LCM of 451,5733 as per the given fractions.

LCM of 451,5733 is 2585583 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4460,1880

GCF of Fractions 4460/451,1880/5733 is 20/2585583

2 4460, 1880
2 2230, 940
5 1115, 470
223, 94

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 4460,1880 By Matching Biggest Common Factor Method

Greatest Common Factor of 4460,1880 By Matching Biggest Common Factor Method

Factors of 4460

List of positive integer factors of 4460 that divides 4460 without a remainder.

1,2,4,5,10,20,223,446,892,1115,2230,4460

Factors of 1880

List of positive integer factors of 1880 that divides 1880 without a remainder.

1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880

Greatest Common Factor

We found the factors 4460,1880 . The biggest common factor number is the GCF number.
So the greatest common factor 4460,1880 is 20.

Lets's calculate LCM of 451,5733

Given numbers has no common factors except 1. So, there LCM is their product i.e 2585583

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/2585583

Therefore, the GCF of Fractions 4460/451,1880/5733 is 20/2585583

Least Common Multiple of 451,5733 with GCF Formula

Least Common Multiple of 451,5733 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 451,5733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,5733) = 1

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

GCF(451,5733) x common factors =1 x 1 = 1

LCM(451,5733) = ( 451 × 5733 ) / 1

LCM(451,5733) = 2585583 / 1

LCM(451,5733) = 2585583


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 4460/451, 1880/5733

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 4460/451, 1880/5733?

Answer: GCF of Numerators as per given numbers 4460/451, 1880/5733 is

GCF of Numerators i.e. for 4460,1880 is 20

LCM of denominators i.e. for 451,5733 is 2585583.

Thus, GCF of Fractions is 20/2585583.Finally, GCF of Fractions for 4460/451, 1880/5733 is 20/2585583.