How to Find GCF of 1589/217, 2305/4019?

GCF of 1589/217, 2305/4019

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1589/217, 2305/4019 i.e 1/872123 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1589/217, 2305/4019.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1589/217,2305/4019?

Given fractions are 1589/217,2305/4019

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1589/217,2305/4019, numerators are 1589,2305

Denominators are 217,4019

The GCF of 1589,2305 is 1 .

LCM of 217,4019 is 872123.

The greatest common factor of 1589/217,2305/4019 = [GCF of 1589,2305]/[LCM of 217,4019]= 1/872123

Therefore, the GCF of 1589/217,2305/4019 is 1/872123.

Greatest Common Factor of 1589,2305

To find the highest common factor of 1589,2305, we have to find the factors of both numbers and list the highest common factor.

The factors of 1589 are 1, 7, 227, 1589

The factors of 2305 are 1, 5, 461, 2305

The HCF of 1589,2305 is 1.

Lets's calculate GCF of 1589,2305

Greatest Common Factor (GCF) of 1589,2305 By Common Division

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

Greatest Common Factor of 1589,2305 By Matching Biggest Common Factor Method

Now, list down the factors of 1589

1,7,227,1589

Now, list down the factors of 2305

1,5,461,2305

Greatest Common Factor

We found the factors 1589,2305 . The biggest common factor number is the GCF number.
So the greatest common factor 1589,2305 is 1.

Lets's calculate LCM of 217,4019

Lowest Common Multiple of 217,4019 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 872123

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/872123

Therefore, the GCF of Fractions 1589/217,2305/4019 is 1/872123

Least Common Multiple of 217,4019 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 217,4019 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,4019) = 1

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

GCF(217,4019) x common factors =1 x 1 = 1

LCM(217,4019) = ( 217 × 4019 ) / 1

LCM(217,4019) = 872123 / 1

LCM(217,4019) = 872123

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FAQs on GCF of Fractions of 1589/217, 2305/4019

1. What is the HCF of 1589,2305?

The HCF of 1589,2305 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 1589/217, 2305/4019?

Answer: GCF of Numerators as per given numbers 1589/217, 2305/4019 is

GCF of Numerators i.e. for 1589,2305 is 1

LCM of denominators i.e. for 217,4019 is 872123.

Thus, GCF of Fractions is 1/872123.Finally, GCF of Fractions for 1589/217, 2305/4019 is 1/872123.