How to Find GCF of 9479/687, 1589/7189?

GCF of 9479/687, 1589/7189

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 9479/687, 1589/7189 i.e 1/4938843 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9479/687, 1589/7189.

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 9479/687,1589/7189?

Given fractions are 9479/687,1589/7189

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 9479/687,1589/7189, numerators are 9479,1589

Denominators are 687,7189

The GCF of 9479,1589 is 1 .

LCM of 687,7189 is 4938843.

The greatest common factor of 9479/687,1589/7189 = [GCF of 9479,1589]/[LCM of 687,7189]= 1/4938843

Therefore, the GCF of 9479/687,1589/7189 is 1/4938843.

Greatest Common Factor of 9479,1589

To find the highest common factor of 9479,1589, we have to find the factors of both numbers and list the highest common factor.

The factors of 9479 are 1, 9479

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

The HCF of 9479,1589 is 1.

Lets's calculate GCF of 9479,1589

Greatest Common Factor (GCF) of 9479,1589 By Common Division

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

Greatest Common Factor of 9479,1589 By Matching Biggest Common Factor Method

Now, list down the factors of 9479

1,9479

Now, list down the factors of 1589

1,7,227,1589

Greatest Common Factor

We found the factors 9479,1589 . The biggest common factor number is the GCF number.
So the greatest common factor 9479,1589 is 1.

Lets's calculate LCM of 687,7189

Lowest Common Multiple of 687,7189 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4938843

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4938843

Therefore, the GCF of Fractions 9479/687,1589/7189 is 1/4938843

Least Common Multiple of 687,7189 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 687,7189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,7189) = 1

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

GCF(687,7189) x common factors =1 x 1 = 1

LCM(687,7189) = ( 687 × 7189 ) / 1

LCM(687,7189) = 4938843 / 1

LCM(687,7189) = 4938843

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FAQs on GCF of Fractions of 9479/687, 1589/7189

1. What is the HCF of 9479,1589?

The HCF of 9479,1589 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 9479/687, 1589/7189?

Answer: GCF of Numerators as per given numbers 9479/687, 1589/7189 is

GCF of Numerators i.e. for 9479,1589 is 1

LCM of denominators i.e. for 687,7189 is 4938843.

Thus, GCF of Fractions is 1/4938843.Finally, GCF of Fractions for 9479/687, 1589/7189 is 1/4938843.