How to Find GCF of 939/997, 4394/2253?

GCF of 939/997, 4394/2253

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 939/997, 4394/2253 i.e 1/2246241 easily. The following is the detailed procedure to determine the greatest common factor of fractions 939/997, 4394/2253.

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 939/997,4394/2253?

Given fractions are 939/997,4394/2253

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 939/997,4394/2253, numerators are 939,4394

Denominators are 997,2253

The GCF of 939,4394 is 1 .

LCM of 997,2253 is 2246241.

The greatest common factor of 939/997,4394/2253 = [GCF of 939,4394]/[LCM of 997,2253]= 1/2246241

Therefore, the GCF of 939/997,4394/2253 is 1/2246241.

Greatest Common Factor of 939,4394

To find the highest common factor of 939,4394, we have to find the factors of both numbers and list the highest common factor.

The factors of 939 are 1, 3, 313, 939

The factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394

The HCF of 939,4394 is 1.

Lets's calculate GCF of 939,4394

Greatest Common Factor (GCF) of 939,4394 By Common Division

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

Greatest Common Factor of 939,4394 By Matching Biggest Common Factor Method

Now, list down the factors of 939

1,3,313,939

Now, list down the factors of 4394

1,2,13,26,169,338,2197,4394

Greatest Common Factor

We found the factors 939,4394 . The biggest common factor number is the GCF number.
So the greatest common factor 939,4394 is 1.

Lets's calculate LCM of 997,2253

Lowest Common Multiple of 997,2253 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2246241

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2246241

Therefore, the GCF of Fractions 939/997,4394/2253 is 1/2246241

Least Common Multiple of 997,2253 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 997,2253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,2253) = 1

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

GCF(997,2253) x common factors =1 x 1 = 1

LCM(997,2253) = ( 997 × 2253 ) / 1

LCM(997,2253) = 2246241 / 1

LCM(997,2253) = 2246241

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FAQs on GCF of Fractions of 939/997, 4394/2253

1. What is the HCF of 939,4394?

The HCF of 939,4394 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 939/997, 4394/2253?

Answer: GCF of Numerators as per given numbers 939/997, 4394/2253 is

GCF of Numerators i.e. for 939,4394 is 1

LCM of denominators i.e. for 997,2253 is 2246241.

Thus, GCF of Fractions is 1/2246241.Finally, GCF of Fractions for 939/997, 4394/2253 is 1/2246241.