How to Find GCF of 6017/911, 2335/3189?

GCF of 6017/911, 2335/3189

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 6017/911, 2335/3189 i.e 1/2905179 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6017/911, 2335/3189.

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 6017/911,2335/3189?

Given fractions are 6017/911,2335/3189

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 6017/911,2335/3189, numerators are 6017,2335

Denominators are 911,3189

The GCF of 6017,2335 is 1 .

LCM of 911,3189 is 2905179.

The greatest common factor of 6017/911,2335/3189 = [GCF of 6017,2335]/[LCM of 911,3189]= 1/2905179

Therefore, the GCF of 6017/911,2335/3189 is 1/2905179.

Greatest Common Factor of 6017,2335

To find the highest common factor of 6017,2335, we have to find the factors of both numbers and list the highest common factor.

The factors of 6017 are 1, 11, 547, 6017

The factors of 2335 are 1, 5, 467, 2335

The HCF of 6017,2335 is 1.

Lets's calculate GCF of 6017,2335

Greatest Common Factor (GCF) of 6017,2335 By Common Division

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

Greatest Common Factor of 6017,2335 By Matching Biggest Common Factor Method

Now, list down the factors of 6017

1,11,547,6017

Now, list down the factors of 2335

1,5,467,2335

Greatest Common Factor

We found the factors 6017,2335 . The biggest common factor number is the GCF number.
So the greatest common factor 6017,2335 is 1.

Lets's calculate LCM of 911,3189

Lowest Common Multiple of 911,3189 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2905179

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2905179

Therefore, the GCF of Fractions 6017/911,2335/3189 is 1/2905179

Least Common Multiple of 911,3189 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 911,3189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,3189) = 1

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

GCF(911,3189) x common factors =1 x 1 = 1

LCM(911,3189) = ( 911 × 3189 ) / 1

LCM(911,3189) = 2905179 / 1

LCM(911,3189) = 2905179

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FAQs on GCF of Fractions of 6017/911, 2335/3189

1. What is the HCF of 6017,2335?

The HCF of 6017,2335 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 6017/911, 2335/3189?

Answer: GCF of Numerators as per given numbers 6017/911, 2335/3189 is

GCF of Numerators i.e. for 6017,2335 is 1

LCM of denominators i.e. for 911,3189 is 2905179.

Thus, GCF of Fractions is 1/2905179.Finally, GCF of Fractions for 6017/911, 2335/3189 is 1/2905179.