Greatest Common Factor of 4001/730, 4892/8560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4001/730, 4892/8560

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 4001/730,4892/8560

Given fractions are 4001/730,4892/8560

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 4001,4892

Greatest Common Factor of Numerators i.e. GCF of 4001,4892 is 1 .

LCM of Denominators means LCM of 730,8560 as per the given fractions.

LCM of 730,8560 is 624880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4001,4892

GCF of Fractions 4001/730,4892/8560 is 1/624880

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4001,4892 By Matching Biggest Common Factor Method

Greatest Common Factor of 4001,4892 By Matching Biggest Common Factor Method

Factors of 4001

List of positive integer factors of 4001 that divides 4001 without a remainder.

1,4001

Factors of 4892

List of positive integer factors of 4892 that divides 4892 without a remainder.

1,2,4,1223,2446,4892

Greatest Common Factor

We found the factors 4001,4892 . The biggest common factor number is the GCF number.
So the greatest common factor 4001,4892 is 1.

Lets's calculate LCM of 730,8560

2 730, 8560
5 365, 4280
73, 856

∴ So the LCM of the given numbers is 2 x 5 x 73 x 856 = 624880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624880

Therefore, the GCF of Fractions 4001/730,4892/8560 is 1/624880

Least Common Multiple of 730,8560 with GCF Formula

Least Common Multiple of 730,8560 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 730,8560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,8560) = 10

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

GCF(730,8560) x common factors =10 x 1 = 10

LCM(730,8560) = ( 730 × 8560 ) / 10

LCM(730,8560) = 6248800 / 10

LCM(730,8560) = 624880


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 4001/730, 4892/8560

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 4001/730, 4892/8560?

Answer: GCF of Numerators as per given numbers 4001/730, 4892/8560 is

GCF of Numerators i.e. for 4001,4892 is 1

LCM of denominators i.e. for 730,8560 is 624880.

Thus, GCF of Fractions is 1/624880.Finally, GCF of Fractions for 4001/730, 4892/8560 is 1/624880.