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GCF of 38/191, 4014/9291

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 38/191, 4014/9291 i.e 2/1774581 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/191, 4014/9291.

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 38/191,4014/9291?

Given fractions are 38/191,4014/9291

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 38/191,4014/9291, numerators are 38,4014

Denominators are 191,9291

The GCF of 38,4014 is 2 .

LCM of 191,9291 is 1774581.

The greatest common factor of 38/191,4014/9291 = [GCF of 38,4014]/[LCM of 191,9291]= 2/1774581

Therefore, the GCF of 38/191,4014/9291 is 2/1774581.

Greatest Common Factor of 38,4014

To find the highest common factor of 38,4014, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 4014 are 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014

The HCF of 38,4014 is 2.

Lets's calculate GCF of 38,4014

Greatest Common Factor (GCF) of 38,4014 By Common Division

2 38, 4014
19, 2007

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 38,4014 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,4014 By Matching Biggest Common Factor Method

Now, list down the factors of 38

:

1,2,19,38

Now, list down the factors of 4014

:

1,2,3,6,9,18,223,446,669,1338,2007,4014

Greatest Common Factor

We found the factors 38,4014 . The biggest common factor number is the GCF number.
So the greatest common factor 38,4014 is 2.

Lets's calculate LCM of 191,9291

Lowest Common Multiple of 191,9291 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1774581

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1774581

Therefore, the GCF of Fractions 38/191,4014/9291 is 2/1774581

Least Common Multiple of 191,9291 with GCF Formula

Least Common Multiple of 191,9291 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 191,9291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,9291) = 1

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

GCF(191,9291) x common factors =1 x 1 = 1

LCM(191,9291) = ( 191 × 9291 ) / 1

LCM(191,9291) = 1774581 / 1

LCM(191,9291) = 1774581


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FAQs on GCF of Fractions of 38/191, 4014/9291

1. What is the HCF of 38,4014?

The HCF of 38,4014 is 2

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 38/191, 4014/9291?

Answer: GCF of Numerators as per given numbers 38/191, 4014/9291 is

GCF of Numerators i.e. for 38,4014 is 2

LCM of denominators i.e. for 191,9291 is 1774581.

Thus, GCF of Fractions is 2/1774581.Finally, GCF of Fractions for 38/191, 4014/9291 is 2/1774581.