Greatest Common Factor of 1489/997, 5600/4341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1489/997, 5600/4341

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 1489/997,5600/4341

Given fractions are 1489/997,5600/4341

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 1489,5600

Greatest Common Factor of Numerators i.e. GCF of 1489,5600 is 1 .

LCM of Denominators means LCM of 997,4341 as per the given fractions.

LCM of 997,4341 is 4327977 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1489,5600

GCF of Fractions 1489/997,5600/4341 is 1/4327977

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

Greatest Common Factor of 1489,5600 By Matching Biggest Common Factor Method

Greatest Common Factor of 1489,5600 By Matching Biggest Common Factor Method

Factors of 1489

List of positive integer factors of 1489 that divides 1489 without a remainder.

1,1489

Factors of 5600

List of positive integer factors of 5600 that divides 5600 without a remainder.

1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600

Greatest Common Factor

We found the factors 1489,5600 . The biggest common factor number is the GCF number.
So the greatest common factor 1489,5600 is 1.

Lets's calculate LCM of 997,4341

Given numbers has no common factors except 1. So, there LCM is their product i.e 4327977

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4327977

Therefore, the GCF of Fractions 1489/997,5600/4341 is 1/4327977

Least Common Multiple of 997,4341 with GCF Formula

Least Common Multiple of 997,4341 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 997,4341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,4341) = 1

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

GCF(997,4341) x common factors =1 x 1 = 1

LCM(997,4341) = ( 997 × 4341 ) / 1

LCM(997,4341) = 4327977 / 1

LCM(997,4341) = 4327977


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 1489/997, 5600/4341

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 1489/997, 5600/4341?

Answer: GCF of Numerators as per given numbers 1489/997, 5600/4341 is

GCF of Numerators i.e. for 1489,5600 is 1

LCM of denominators i.e. for 997,4341 is 4327977.

Thus, GCF of Fractions is 1/4327977.Finally, GCF of Fractions for 1489/997, 5600/4341 is 1/4327977.