How to Find GCF of 4283/939, 5174/1064?

GCF of 4283/939, 5174/1064

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 4283/939, 5174/1064 i.e 1/999096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4283/939, 5174/1064.

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 4283/939,5174/1064?

Given fractions are 4283/939,5174/1064

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 4283/939,5174/1064, numerators are 4283,5174

Denominators are 939,1064

The GCF of 4283,5174 is 1 .

LCM of 939,1064 is 999096.

The greatest common factor of 4283/939,5174/1064 = [GCF of 4283,5174]/[LCM of 939,1064]= 1/999096

Therefore, the GCF of 4283/939,5174/1064 is 1/999096.

Greatest Common Factor of 4283,5174

To find the highest common factor of 4283,5174, we have to find the factors of both numbers and list the highest common factor.

The factors of 4283 are 1, 4283

The factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174

The HCF of 4283,5174 is 1.

Lets's calculate GCF of 4283,5174

Greatest Common Factor (GCF) of 4283,5174 By Common Division

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

Greatest Common Factor of 4283,5174 By Matching Biggest Common Factor Method

Now, list down the factors of 4283

1,4283

Now, list down the factors of 5174

1,2,13,26,199,398,2587,5174

Greatest Common Factor

We found the factors 4283,5174 . The biggest common factor number is the GCF number.
So the greatest common factor 4283,5174 is 1.

Lets's calculate LCM of 939,1064

Lowest Common Multiple of 939,1064 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 999096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/999096

Therefore, the GCF of Fractions 4283/939,5174/1064 is 1/999096

Least Common Multiple of 939,1064 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 939,1064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,1064) = 1

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

GCF(939,1064) x common factors =1 x 1 = 1

LCM(939,1064) = ( 939 × 1064 ) / 1

LCM(939,1064) = 999096 / 1

LCM(939,1064) = 999096

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FAQs on GCF of Fractions of 4283/939, 5174/1064

1. What is the HCF of 4283,5174?

The HCF of 4283,5174 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 4283/939, 5174/1064?

Answer: GCF of Numerators as per given numbers 4283/939, 5174/1064 is

GCF of Numerators i.e. for 4283,5174 is 1

LCM of denominators i.e. for 939,1064 is 999096.

Thus, GCF of Fractions is 1/999096.Finally, GCF of Fractions for 4283/939, 5174/1064 is 1/999096.