GCF of 4744/589, 4028/126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4744/589, 4028/126 i.e 4/74214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4744/589, 4028/126.
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 4744/589,4028/126?
Given fractions are 4744/589,4028/126
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 4744/589,4028/126, numerators are 4744,4028
Denominators are 589,126
The GCF of 4744,4028 is 4 .
LCM of 589,126 is 74214.
The greatest common factor of 4744/589,4028/126 = [GCF of 4744,4028]/[LCM of 589,126]= 4/74214
Therefore, the GCF of 4744/589,4028/126 is 4/74214.
To find the highest common factor of 4744,4028, we have to find the factors of both numbers and list the highest common factor.
The factors of 4744 are 1, 2, 4, 8, 593, 1186, 2372, 4744
The factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028
The HCF of 4744,4028 is 4.
Lets's calculate GCF of 4744,4028
| 2 | 4744, 4028 |
| 2 | 2372, 2014 |
| 1186, 1007 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4744,4028 By Matching Biggest Common Factor Method
Now, list down the factors of 4744
:1,2,4,8,593,1186,2372,4744
Now, list down the factors of 4028
:1,2,4,19,38,53,76,106,212,1007,2014,4028
Greatest Common Factor
We found the factors 4744,4028 . The biggest common factor number is the GCF number.
So the greatest common factor 4744,4028 is 4.
Lets's calculate LCM of 589,126
Given numbers has no common factors except 1. So, there LCM is their product i.e 74214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/74214
Therefore, the GCF of Fractions 4744/589,4028/126 is 4/74214
Least Common Multiple of 589,126 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 589,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,126) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,126) x common factors =1 x 1 = 1
LCM(589,126) = ( 589 × 126 ) / 1
LCM(589,126) = 74214 / 1
LCM(589,126) = 74214
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4744/589, 4028/126
1. What is the HCF of 4744,4028?
The HCF of 4744,4028 is 4
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 4744/589, 4028/126?
Answer: GCF of Numerators as per given numbers 4744/589, 4028/126 is
GCF of Numerators i.e. for 4744,4028 is 4
LCM of denominators i.e. for 589,126 is 74214.
Thus, GCF of Fractions is 4/74214.Finally, GCF of Fractions for 4744/589, 4028/126 is 4/74214.