How to Find GCF of 3089/425, 2709/5604?

GCF of 3089/425, 2709/5604

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 3089/425, 2709/5604 i.e 1/2381700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3089/425, 2709/5604.

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 3089/425,2709/5604?

Given fractions are 3089/425,2709/5604

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 3089/425,2709/5604, numerators are 3089,2709

Denominators are 425,5604

The GCF of 3089,2709 is 1 .

LCM of 425,5604 is 2381700.

The greatest common factor of 3089/425,2709/5604 = [GCF of 3089,2709]/[LCM of 425,5604]= 1/2381700

Therefore, the GCF of 3089/425,2709/5604 is 1/2381700.

Greatest Common Factor of 3089,2709

To find the highest common factor of 3089,2709, 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 2709 are 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903, 2709

The HCF of 3089,2709 is 1.

Lets's calculate GCF of 3089,2709

Greatest Common Factor (GCF) of 3089,2709 By Common Division

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

Greatest Common Factor of 3089,2709 By Matching Biggest Common Factor Method

Now, list down the factors of 3089

1,3089

Now, list down the factors of 2709

1,3,7,9,21,43,63,129,301,387,903,2709

Greatest Common Factor

We found the factors 3089,2709 . The biggest common factor number is the GCF number.
So the greatest common factor 3089,2709 is 1.

Lets's calculate LCM of 425,5604

Lowest Common Multiple of 425,5604 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2381700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2381700

Therefore, the GCF of Fractions 3089/425,2709/5604 is 1/2381700

Least Common Multiple of 425,5604 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 425,5604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,5604) = 1

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

GCF(425,5604) x common factors =1 x 1 = 1

LCM(425,5604) = ( 425 × 5604 ) / 1

LCM(425,5604) = 2381700 / 1

LCM(425,5604) = 2381700

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FAQs on GCF of Fractions of 3089/425, 2709/5604

1. What is the HCF of 3089,2709?

The HCF of 3089,2709 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 3089/425, 2709/5604?

Answer: GCF of Numerators as per given numbers 3089/425, 2709/5604 is

GCF of Numerators i.e. for 3089,2709 is 1

LCM of denominators i.e. for 425,5604 is 2381700.

Thus, GCF of Fractions is 1/2381700.Finally, GCF of Fractions for 3089/425, 2709/5604 is 1/2381700.