How to Find GCF of 1515/600, 6061/6409?

GCF of 1515/600, 6061/6409

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 1515/600, 6061/6409 i.e 1/3845400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1515/600, 6061/6409.

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 1515/600,6061/6409?

Given fractions are 1515/600,6061/6409

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 1515/600,6061/6409, numerators are 1515,6061

Denominators are 600,6409

The GCF of 1515,6061 is 1 .

LCM of 600,6409 is 3845400.

The greatest common factor of 1515/600,6061/6409 = [GCF of 1515,6061]/[LCM of 600,6409]= 1/3845400

Therefore, the GCF of 1515/600,6061/6409 is 1/3845400.

Greatest Common Factor of 1515,6061

To find the highest common factor of 1515,6061, we have to find the factors of both numbers and list the highest common factor.

The factors of 1515 are 1, 3, 5, 15, 101, 303, 505, 1515

The factors of 6061 are 1, 11, 19, 29, 209, 319, 551, 6061

The HCF of 1515,6061 is 1.

Lets's calculate GCF of 1515,6061

Greatest Common Factor (GCF) of 1515,6061 By Common Division

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

Greatest Common Factor of 1515,6061 By Matching Biggest Common Factor Method

Now, list down the factors of 1515

1,3,5,15,101,303,505,1515

Now, list down the factors of 6061

1,11,19,29,209,319,551,6061

Greatest Common Factor

We found the factors 1515,6061 . The biggest common factor number is the GCF number.
So the greatest common factor 1515,6061 is 1.

Lets's calculate LCM of 600,6409

Lowest Common Multiple of 600,6409 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3845400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3845400

Therefore, the GCF of Fractions 1515/600,6061/6409 is 1/3845400

Least Common Multiple of 600,6409 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 600,6409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,6409) = 1

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

GCF(600,6409) x common factors =1 x 1 = 1

LCM(600,6409) = ( 600 × 6409 ) / 1

LCM(600,6409) = 3845400 / 1

LCM(600,6409) = 3845400

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FAQs on GCF of Fractions of 1515/600, 6061/6409

1. What is the HCF of 1515,6061?

The HCF of 1515,6061 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 1515/600, 6061/6409?

Answer: GCF of Numerators as per given numbers 1515/600, 6061/6409 is

GCF of Numerators i.e. for 1515,6061 is 1

LCM of denominators i.e. for 600,6409 is 3845400.

Thus, GCF of Fractions is 1/3845400.Finally, GCF of Fractions for 1515/600, 6061/6409 is 1/3845400.