How to Find GCF of 6618/599, 1693/865?

GCF of 6618/599, 1693/865

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 6618/599, 1693/865 i.e 1/518135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6618/599, 1693/865.

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 6618/599,1693/865?

Given fractions are 6618/599,1693/865

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 6618/599,1693/865, numerators are 6618,1693

Denominators are 599,865

The GCF of 6618,1693 is 1 .

LCM of 599,865 is 518135.

The greatest common factor of 6618/599,1693/865 = [GCF of 6618,1693]/[LCM of 599,865]= 1/518135

Therefore, the GCF of 6618/599,1693/865 is 1/518135.

Greatest Common Factor of 6618,1693

To find the highest common factor of 6618,1693, we have to find the factors of both numbers and list the highest common factor.

The factors of 6618 are 1, 2, 3, 6, 1103, 2206, 3309, 6618

The factors of 1693 are 1, 1693

The HCF of 6618,1693 is 1.

Lets's calculate GCF of 6618,1693

Greatest Common Factor (GCF) of 6618,1693 By Common Division

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

Greatest Common Factor of 6618,1693 By Matching Biggest Common Factor Method

Now, list down the factors of 6618

1,2,3,6,1103,2206,3309,6618

Now, list down the factors of 1693

1,1693

Greatest Common Factor

We found the factors 6618,1693 . The biggest common factor number is the GCF number.
So the greatest common factor 6618,1693 is 1.

Lets's calculate LCM of 599,865

Lowest Common Multiple of 599,865 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 518135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518135

Therefore, the GCF of Fractions 6618/599,1693/865 is 1/518135

Least Common Multiple of 599,865 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 599,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(599,865) = 1

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

GCF(599,865) x common factors =1 x 1 = 1

LCM(599,865) = ( 599 × 865 ) / 1

LCM(599,865) = 518135 / 1

LCM(599,865) = 518135

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FAQs on GCF of Fractions of 6618/599, 1693/865

1. What is the HCF of 6618,1693?

The HCF of 6618,1693 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 6618/599, 1693/865?

Answer: GCF of Numerators as per given numbers 6618/599, 1693/865 is

GCF of Numerators i.e. for 6618,1693 is 1

LCM of denominators i.e. for 599,865 is 518135.

Thus, GCF of Fractions is 1/518135.Finally, GCF of Fractions for 6618/599, 1693/865 is 1/518135.