How to Find GCF of 3323/494, 4120/111?

GCF of 3323/494, 4120/111

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 3323/494, 4120/111 i.e 1/54834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3323/494, 4120/111.

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 3323/494,4120/111?

Given fractions are 3323/494,4120/111

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 3323/494,4120/111, numerators are 3323,4120

Denominators are 494,111

The GCF of 3323,4120 is 1 .

LCM of 494,111 is 54834.

The greatest common factor of 3323/494,4120/111 = [GCF of 3323,4120]/[LCM of 494,111]= 1/54834

Therefore, the GCF of 3323/494,4120/111 is 1/54834.

Greatest Common Factor of 3323,4120

To find the highest common factor of 3323,4120, we have to find the factors of both numbers and list the highest common factor.

The factors of 3323 are 1, 3323

The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120

The HCF of 3323,4120 is 1.

Lets's calculate GCF of 3323,4120

Greatest Common Factor (GCF) of 3323,4120 By Common Division

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

Greatest Common Factor of 3323,4120 By Matching Biggest Common Factor Method

Now, list down the factors of 3323

1,3323

Now, list down the factors of 4120

1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120

Greatest Common Factor

We found the factors 3323,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 3323,4120 is 1.

Lets's calculate LCM of 494,111

Lowest Common Multiple of 494,111 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 54834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54834

Therefore, the GCF of Fractions 3323/494,4120/111 is 1/54834

Least Common Multiple of 494,111 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 494,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,111) = 1

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

GCF(494,111) x common factors =1 x 1 = 1

LCM(494,111) = ( 494 × 111 ) / 1

LCM(494,111) = 54834 / 1

LCM(494,111) = 54834

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FAQs on GCF of Fractions of 3323/494, 4120/111

1. What is the HCF of 3323,4120?

The HCF of 3323,4120 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 3323/494, 4120/111?

Answer: GCF of Numerators as per given numbers 3323/494, 4120/111 is

GCF of Numerators i.e. for 3323,4120 is 1

LCM of denominators i.e. for 494,111 is 54834.

Thus, GCF of Fractions is 1/54834.Finally, GCF of Fractions for 3323/494, 4120/111 is 1/54834.