How to Find GCF of 1489/611, 3259/2022?

GCF of 1489/611, 3259/2022

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 1489/611, 3259/2022 i.e 1/1235442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1489/611, 3259/2022.

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 1489/611,3259/2022?

Given fractions are 1489/611,3259/2022

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 1489/611,3259/2022, numerators are 1489,3259

Denominators are 611,2022

The GCF of 1489,3259 is 1 .

LCM of 611,2022 is 1235442.

The greatest common factor of 1489/611,3259/2022 = [GCF of 1489,3259]/[LCM of 611,2022]= 1/1235442

Therefore, the GCF of 1489/611,3259/2022 is 1/1235442.

Greatest Common Factor of 1489,3259

To find the highest common factor of 1489,3259, we have to find the factors of both numbers and list the highest common factor.

The factors of 1489 are 1, 1489

The factors of 3259 are 1, 3259

The HCF of 1489,3259 is 1.

Lets's calculate GCF of 1489,3259

Greatest Common Factor (GCF) of 1489,3259 By Common Division

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

Greatest Common Factor of 1489,3259 By Matching Biggest Common Factor Method

Now, list down the factors of 1489

1,1489

Now, list down the factors of 3259

1,3259

Greatest Common Factor

We found the factors 1489,3259 . The biggest common factor number is the GCF number.
So the greatest common factor 1489,3259 is 1.

Lets's calculate LCM of 611,2022

Lowest Common Multiple of 611,2022 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1235442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1235442

Therefore, the GCF of Fractions 1489/611,3259/2022 is 1/1235442

Least Common Multiple of 611,2022 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 611,2022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,2022) = 1

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

GCF(611,2022) x common factors =1 x 1 = 1

LCM(611,2022) = ( 611 × 2022 ) / 1

LCM(611,2022) = 1235442 / 1

LCM(611,2022) = 1235442

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FAQs on GCF of Fractions of 1489/611, 3259/2022

1. What is the HCF of 1489,3259?

The HCF of 1489,3259 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 1489/611, 3259/2022?

Answer: GCF of Numerators as per given numbers 1489/611, 3259/2022 is

GCF of Numerators i.e. for 1489,3259 is 1

LCM of denominators i.e. for 611,2022 is 1235442.

Thus, GCF of Fractions is 1/1235442.Finally, GCF of Fractions for 1489/611, 3259/2022 is 1/1235442.