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GCF of 3227/190, 1301/4012

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 3227/190, 1301/4012 i.e 1/381140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3227/190, 1301/4012.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3227/190,1301/4012?

Given fractions are 3227/190,1301/4012

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 3227/190,1301/4012, numerators are 3227,1301

Denominators are 190,4012

The GCF of 3227,1301 is 1 .

LCM of 190,4012 is 381140.

The greatest common factor of 3227/190,1301/4012 = [GCF of 3227,1301]/[LCM of 190,4012]= 1/381140

Therefore, the GCF of 3227/190,1301/4012 is 1/381140.

Greatest Common Factor of 3227,1301

To find the highest common factor of 3227,1301, we have to find the factors of both numbers and list the highest common factor.

The factors of 3227 are 1, 7, 461, 3227

The factors of 1301 are 1, 1301

The HCF of 3227,1301 is 1.

Lets's calculate GCF of 3227,1301

Greatest Common Factor (GCF) of 3227,1301 By Common Division

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

Greatest Common Factor of 3227,1301 By Matching Biggest Common Factor Method

Greatest Common Factor of 3227,1301 By Matching Biggest Common Factor Method

Now, list down the factors of 3227

:

1,7,461,3227

Now, list down the factors of 1301

:

1,1301

Greatest Common Factor

We found the factors 3227,1301 . The biggest common factor number is the GCF number.
So the greatest common factor 3227,1301 is 1.

Lets's calculate LCM of 190,4012

Lowest Common Multiple of 190,4012 using Common Division

2 190, 4012
95, 2006

∴ So the LCM of the given numbers is 2 x 95 x 2006 = 381140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381140

Therefore, the GCF of Fractions 3227/190,1301/4012 is 1/381140

Least Common Multiple of 190,4012 with GCF Formula

Least Common Multiple of 190,4012 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 190,4012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,4012) = 2

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

GCF(190,4012) x common factors =2 x 1 = 2

LCM(190,4012) = ( 190 × 4012 ) / 2

LCM(190,4012) = 762280 / 2

LCM(190,4012) = 381140


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FAQs on GCF of Fractions of 3227/190, 1301/4012

1. What is the HCF of 3227,1301?

The HCF of 3227,1301 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 3227/190, 1301/4012?

Answer: GCF of Numerators as per given numbers 3227/190, 1301/4012 is

GCF of Numerators i.e. for 3227,1301 is 1

LCM of denominators i.e. for 190,4012 is 381140.

Thus, GCF of Fractions is 1/381140.Finally, GCF of Fractions for 3227/190, 1301/4012 is 1/381140.