How to Find GCF of 3331/322, 1950/1761?

GCF of 3331/322, 1950/1761

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 3331/322, 1950/1761 i.e 1/567042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3331/322, 1950/1761.

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 3331/322,1950/1761?

Given fractions are 3331/322,1950/1761

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 3331/322,1950/1761, numerators are 3331,1950

Denominators are 322,1761

The GCF of 3331,1950 is 1 .

LCM of 322,1761 is 567042.

The greatest common factor of 3331/322,1950/1761 = [GCF of 3331,1950]/[LCM of 322,1761]= 1/567042

Therefore, the GCF of 3331/322,1950/1761 is 1/567042.

Greatest Common Factor of 3331,1950

To find the highest common factor of 3331,1950, we have to find the factors of both numbers and list the highest common factor.

The factors of 3331 are 1, 3331

The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950

The HCF of 3331,1950 is 1.

Lets's calculate GCF of 3331,1950

Greatest Common Factor (GCF) of 3331,1950 By Common Division

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

Greatest Common Factor of 3331,1950 By Matching Biggest Common Factor Method

Now, list down the factors of 3331

1,3331

Now, list down the factors of 1950

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950

Greatest Common Factor

We found the factors 3331,1950 . The biggest common factor number is the GCF number.
So the greatest common factor 3331,1950 is 1.

Lets's calculate LCM of 322,1761

Lowest Common Multiple of 322,1761 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 567042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/567042

Therefore, the GCF of Fractions 3331/322,1950/1761 is 1/567042

Least Common Multiple of 322,1761 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 322,1761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,1761) = 1

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

GCF(322,1761) x common factors =1 x 1 = 1

LCM(322,1761) = ( 322 × 1761 ) / 1

LCM(322,1761) = 567042 / 1

LCM(322,1761) = 567042

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FAQs on GCF of Fractions of 3331/322, 1950/1761

1. What is the HCF of 3331,1950?

The HCF of 3331,1950 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 3331/322, 1950/1761?

Answer: GCF of Numerators as per given numbers 3331/322, 1950/1761 is

GCF of Numerators i.e. for 3331,1950 is 1

LCM of denominators i.e. for 322,1761 is 567042.

Thus, GCF of Fractions is 1/567042.Finally, GCF of Fractions for 3331/322, 1950/1761 is 1/567042.