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GCF of 1/93, 442/11, 341/22

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 1/93, 442/11, 341/22 i.e 1/2046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/93, 442/11, 341/22.

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 1/93,442/11,341/22?

Given fractions are 1/93,442/11,341/22

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 1/93,442/11,341/22, numerators are 1,442,341

Denominators are 93,11,22

The GCF of 1,442,341 is 1 .

LCM of 93,11,22 is 2046.

The greatest common factor of 1/93,442/11,341/22 = [GCF of 1,442,341]/[LCM of 93,11,22]= 1/2046

Therefore, the GCF of 1/93,442/11,341/22 is 1/2046.

Greatest Common Factor of 1,442,341

To find the highest common factor of 1,442,341, we have to find the factors of both numbers and list the highest common factor.

The factors of 1 are 1

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The factors of 341 are 1, 11, 31, 341

The HCF of 1,442,341 is 1.

Lets's calculate GCF of 1,442,341

Greatest Common Factor (GCF) of 1,442,341 By Common Division

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

Greatest Common Factor of 1,442,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,442,341 By Matching Biggest Common Factor Method

Now, list down the factors of 1

:

1

Now, list down the factors of 442

:

1,2,13,17,26,34,221,442

Now, list down the factors of 341

:

1,11,31,341

Greatest Common Factor

We found the factors 1,442,341 . The biggest common factor number is the GCF number.
So the greatest common factor 1,442,341 is 1.


Lets's calculate LCM of 93,11,22

Lowest Common Multiple of 93,11,22 using Common Division

11 93, 11, 22
93, 1, 2

∴ So the LCM of the given numbers is 11 x 93 x 1 x 2 = 2046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2046

Therefore, the GCF of Fractions 1/93,442/11,341/22 is 1/2046

Least Common Multiple of 93,11,22 with GCF Formula

Least Common Multiple of 93,11,22 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 93,11,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,11,22) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(93,11,22) x common factors =1 x 11 = 11

LCM(93,11,22) = ( 93 × 11 × 22 ) / 11

LCM(93,11,22) = 22506 / 11

LCM(93,11,22) = 2046


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1/93, 442/11, 341/22

1. What is the HCF of 1,442,341?

The HCF of 1,442,341 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 1/93, 442/11, 341/22?

Answer: GCF of Numerators as per given numbers 1/93, 442/11, 341/22 is

GCF of Numerators i.e. for 1,442,341 is 1

LCM of denominators i.e. for 93,11,22 is 2046.

Thus, GCF of Fractions is 1/2046.Finally, GCF of Fractions for 1/93, 442/11, 341/22 is 1/2046.