How to Find GCF of 3089/724, 1479/2080?

GCF of 3089/724, 1479/2080

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 3089/724, 1479/2080 i.e 1/376480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3089/724, 1479/2080.

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 3089/724,1479/2080?

Given fractions are 3089/724,1479/2080

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 3089/724,1479/2080, numerators are 3089,1479

Denominators are 724,2080

The GCF of 3089,1479 is 1 .

LCM of 724,2080 is 376480.

The greatest common factor of 3089/724,1479/2080 = [GCF of 3089,1479]/[LCM of 724,2080]= 1/376480

Therefore, the GCF of 3089/724,1479/2080 is 1/376480.

Greatest Common Factor of 3089,1479

To find the highest common factor of 3089,1479, we have to find the factors of both numbers and list the highest common factor.

The factors of 3089 are 1, 3089

The factors of 1479 are 1, 3, 17, 29, 51, 87, 493, 1479

The HCF of 3089,1479 is 1.

Lets's calculate GCF of 3089,1479

Greatest Common Factor (GCF) of 3089,1479 By Common Division

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

Greatest Common Factor of 3089,1479 By Matching Biggest Common Factor Method

Now, list down the factors of 3089

1,3089

Now, list down the factors of 1479

1,3,17,29,51,87,493,1479

Greatest Common Factor

We found the factors 3089,1479 . The biggest common factor number is the GCF number.
So the greatest common factor 3089,1479 is 1.

Lets's calculate LCM of 724,2080

Lowest Common Multiple of 724,2080 using Common Division

2	724, 2080
2	362, 1040
	181, 520

∴ So the LCM of the given numbers is 2 x 2 x 181 x 520 = 376480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376480

Therefore, the GCF of Fractions 3089/724,1479/2080 is 1/376480

Least Common Multiple of 724,2080 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 724,2080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,2080) = 4

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

GCF(724,2080) x common factors =4 x 1 = 4

LCM(724,2080) = ( 724 × 2080 ) / 4

LCM(724,2080) = 1505920 / 4

LCM(724,2080) = 376480

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FAQs on GCF of Fractions of 3089/724, 1479/2080

1. What is the HCF of 3089,1479?

The HCF of 3089,1479 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 3089/724, 1479/2080?

Answer: GCF of Numerators as per given numbers 3089/724, 1479/2080 is

GCF of Numerators i.e. for 3089,1479 is 1

LCM of denominators i.e. for 724,2080 is 376480.

Thus, GCF of Fractions is 1/376480.Finally, GCF of Fractions for 3089/724, 1479/2080 is 1/376480.