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GCF of 2155/244, 1819/3462

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 2155/244, 1819/3462 i.e 1/422364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2155/244, 1819/3462.

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 2155/244,1819/3462?

Given fractions are 2155/244,1819/3462

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 2155/244,1819/3462, numerators are 2155,1819

Denominators are 244,3462

The GCF of 2155,1819 is 1 .

LCM of 244,3462 is 422364.

The greatest common factor of 2155/244,1819/3462 = [GCF of 2155,1819]/[LCM of 244,3462]= 1/422364

Therefore, the GCF of 2155/244,1819/3462 is 1/422364.

Greatest Common Factor of 2155,1819

To find the highest common factor of 2155,1819, we have to find the factors of both numbers and list the highest common factor.

The factors of 2155 are 1, 5, 431, 2155

The factors of 1819 are 1, 17, 107, 1819

The HCF of 2155,1819 is 1.

Lets's calculate GCF of 2155,1819

Greatest Common Factor (GCF) of 2155,1819 By Common Division

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

Greatest Common Factor of 2155,1819 By Matching Biggest Common Factor Method

Greatest Common Factor of 2155,1819 By Matching Biggest Common Factor Method

Now, list down the factors of 2155

:

1,5,431,2155

Now, list down the factors of 1819

:

1,17,107,1819

Greatest Common Factor

We found the factors 2155,1819 . The biggest common factor number is the GCF number.
So the greatest common factor 2155,1819 is 1.

Lets's calculate LCM of 244,3462

Lowest Common Multiple of 244,3462 using Common Division

2 244, 3462
122, 1731

∴ So the LCM of the given numbers is 2 x 122 x 1731 = 422364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422364

Therefore, the GCF of Fractions 2155/244,1819/3462 is 1/422364

Least Common Multiple of 244,3462 with GCF Formula

Least Common Multiple of 244,3462 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 244,3462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,3462) = 2

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

GCF(244,3462) x common factors =2 x 1 = 2

LCM(244,3462) = ( 244 × 3462 ) / 2

LCM(244,3462) = 844728 / 2

LCM(244,3462) = 422364


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2155/244, 1819/3462

1. What is the HCF of 2155,1819?

The HCF of 2155,1819 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 2155/244, 1819/3462?

Answer: GCF of Numerators as per given numbers 2155/244, 1819/3462 is

GCF of Numerators i.e. for 2155,1819 is 1

LCM of denominators i.e. for 244,3462 is 422364.

Thus, GCF of Fractions is 1/422364.Finally, GCF of Fractions for 2155/244, 1819/3462 is 1/422364.