How to Find GCF of 1933/487, 4355/3297?

GCF of 1933/487, 4355/3297

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 1933/487, 4355/3297 i.e 1/1605639 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1933/487, 4355/3297.

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 1933/487,4355/3297?

Given fractions are 1933/487,4355/3297

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 1933/487,4355/3297, numerators are 1933,4355

Denominators are 487,3297

The GCF of 1933,4355 is 1 .

LCM of 487,3297 is 1605639.

The greatest common factor of 1933/487,4355/3297 = [GCF of 1933,4355]/[LCM of 487,3297]= 1/1605639

Therefore, the GCF of 1933/487,4355/3297 is 1/1605639.

Greatest Common Factor of 1933,4355

To find the highest common factor of 1933,4355, we have to find the factors of both numbers and list the highest common factor.

The factors of 1933 are 1, 1933

The factors of 4355 are 1, 5, 13, 65, 67, 335, 871, 4355

The HCF of 1933,4355 is 1.

Lets's calculate GCF of 1933,4355

Greatest Common Factor (GCF) of 1933,4355 By Common Division

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

Greatest Common Factor of 1933,4355 By Matching Biggest Common Factor Method

Now, list down the factors of 1933

1,1933

Now, list down the factors of 4355

1,5,13,65,67,335,871,4355

Greatest Common Factor

We found the factors 1933,4355 . The biggest common factor number is the GCF number.
So the greatest common factor 1933,4355 is 1.

Lets's calculate LCM of 487,3297

Lowest Common Multiple of 487,3297 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1605639

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1605639

Therefore, the GCF of Fractions 1933/487,4355/3297 is 1/1605639

Least Common Multiple of 487,3297 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 487,3297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,3297) = 1

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

GCF(487,3297) x common factors =1 x 1 = 1

LCM(487,3297) = ( 487 × 3297 ) / 1

LCM(487,3297) = 1605639 / 1

LCM(487,3297) = 1605639

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FAQs on GCF of Fractions of 1933/487, 4355/3297

1. What is the HCF of 1933,4355?

The HCF of 1933,4355 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 1933/487, 4355/3297?

Answer: GCF of Numerators as per given numbers 1933/487, 4355/3297 is

GCF of Numerators i.e. for 1933,4355 is 1

LCM of denominators i.e. for 487,3297 is 1605639.

Thus, GCF of Fractions is 1/1605639.Finally, GCF of Fractions for 1933/487, 4355/3297 is 1/1605639.