How to Find GCF of 6047/367, 2740/8275?

GCF of 6047/367, 2740/8275

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 6047/367, 2740/8275 i.e 1/3036925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6047/367, 2740/8275.

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 6047/367,2740/8275?

Given fractions are 6047/367,2740/8275

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 6047/367,2740/8275, numerators are 6047,2740

Denominators are 367,8275

The GCF of 6047,2740 is 1 .

LCM of 367,8275 is 3036925.

The greatest common factor of 6047/367,2740/8275 = [GCF of 6047,2740]/[LCM of 367,8275]= 1/3036925

Therefore, the GCF of 6047/367,2740/8275 is 1/3036925.

Greatest Common Factor of 6047,2740

To find the highest common factor of 6047,2740, we have to find the factors of both numbers and list the highest common factor.

The factors of 6047 are 1, 6047

The factors of 2740 are 1, 2, 4, 5, 10, 20, 137, 274, 548, 685, 1370, 2740

The HCF of 6047,2740 is 1.

Lets's calculate GCF of 6047,2740

Greatest Common Factor (GCF) of 6047,2740 By Common Division

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

Greatest Common Factor of 6047,2740 By Matching Biggest Common Factor Method

Now, list down the factors of 6047

1,6047

Now, list down the factors of 2740

1,2,4,5,10,20,137,274,548,685,1370,2740

Greatest Common Factor

We found the factors 6047,2740 . The biggest common factor number is the GCF number.
So the greatest common factor 6047,2740 is 1.

Lets's calculate LCM of 367,8275

Lowest Common Multiple of 367,8275 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3036925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3036925

Therefore, the GCF of Fractions 6047/367,2740/8275 is 1/3036925

Least Common Multiple of 367,8275 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 367,8275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,8275) = 1

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

GCF(367,8275) x common factors =1 x 1 = 1

LCM(367,8275) = ( 367 × 8275 ) / 1

LCM(367,8275) = 3036925 / 1

LCM(367,8275) = 3036925

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FAQs on GCF of Fractions of 6047/367, 2740/8275

1. What is the HCF of 6047,2740?

The HCF of 6047,2740 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 6047/367, 2740/8275?

Answer: GCF of Numerators as per given numbers 6047/367, 2740/8275 is

GCF of Numerators i.e. for 6047,2740 is 1

LCM of denominators i.e. for 367,8275 is 3036925.

Thus, GCF of Fractions is 1/3036925.Finally, GCF of Fractions for 6047/367, 2740/8275 is 1/3036925.