How to Find GCF of 3599/230, 2718/6523?

GCF of 3599/230, 2718/6523

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 3599/230, 2718/6523 i.e 1/1500290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3599/230, 2718/6523.

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 3599/230,2718/6523?

Given fractions are 3599/230,2718/6523

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 3599/230,2718/6523, numerators are 3599,2718

Denominators are 230,6523

The GCF of 3599,2718 is 1 .

LCM of 230,6523 is 1500290.

The greatest common factor of 3599/230,2718/6523 = [GCF of 3599,2718]/[LCM of 230,6523]= 1/1500290

Therefore, the GCF of 3599/230,2718/6523 is 1/1500290.

Greatest Common Factor of 3599,2718

To find the highest common factor of 3599,2718, we have to find the factors of both numbers and list the highest common factor.

The factors of 3599 are 1, 59, 61, 3599

The factors of 2718 are 1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, 2718

The HCF of 3599,2718 is 1.

Lets's calculate GCF of 3599,2718

Greatest Common Factor (GCF) of 3599,2718 By Common Division

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

Greatest Common Factor of 3599,2718 By Matching Biggest Common Factor Method

Now, list down the factors of 3599

1,59,61,3599

Now, list down the factors of 2718

1,2,3,6,9,18,151,302,453,906,1359,2718

Greatest Common Factor

We found the factors 3599,2718 . The biggest common factor number is the GCF number.
So the greatest common factor 3599,2718 is 1.

Lets's calculate LCM of 230,6523

Lowest Common Multiple of 230,6523 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1500290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1500290

Therefore, the GCF of Fractions 3599/230,2718/6523 is 1/1500290

Least Common Multiple of 230,6523 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 230,6523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,6523) = 1

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

GCF(230,6523) x common factors =1 x 1 = 1

LCM(230,6523) = ( 230 × 6523 ) / 1

LCM(230,6523) = 1500290 / 1

LCM(230,6523) = 1500290

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FAQs on GCF of Fractions of 3599/230, 2718/6523

1. What is the HCF of 3599,2718?

The HCF of 3599,2718 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 3599/230, 2718/6523?

Answer: GCF of Numerators as per given numbers 3599/230, 2718/6523 is

GCF of Numerators i.e. for 3599,2718 is 1

LCM of denominators i.e. for 230,6523 is 1500290.

Thus, GCF of Fractions is 1/1500290.Finally, GCF of Fractions for 3599/230, 2718/6523 is 1/1500290.