GCF of 4430/978, 6034/5981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4430/978, 6034/5981 i.e 2/5849418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4430/978, 6034/5981.
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 4430/978,6034/5981?
Given fractions are 4430/978,6034/5981
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 4430/978,6034/5981, numerators are 4430,6034
Denominators are 978,5981
The GCF of 4430,6034 is 2 .
LCM of 978,5981 is 5849418.
The greatest common factor of 4430/978,6034/5981 = [GCF of 4430,6034]/[LCM of 978,5981]= 2/5849418
Therefore, the GCF of 4430/978,6034/5981 is 2/5849418.
To find the highest common factor of 4430,6034, we have to find the factors of both numbers and list the highest common factor.
The factors of 4430 are 1, 2, 5, 10, 443, 886, 2215, 4430
The factors of 6034 are 1, 2, 7, 14, 431, 862, 3017, 6034
The HCF of 4430,6034 is 2.
Lets's calculate GCF of 4430,6034
| 2 | 4430, 6034 |
| 2215, 3017 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4430,6034 By Matching Biggest Common Factor Method
Now, list down the factors of 4430
:1,2,5,10,443,886,2215,4430
Now, list down the factors of 6034
:1,2,7,14,431,862,3017,6034
Greatest Common Factor
We found the factors 4430,6034 . The biggest common factor number is the GCF number.
So the greatest common factor 4430,6034 is 2.
Lets's calculate LCM of 978,5981
Given numbers has no common factors except 1. So, there LCM is their product i.e 5849418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5849418
Therefore, the GCF of Fractions 4430/978,6034/5981 is 2/5849418
Least Common Multiple of 978,5981 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 978,5981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,5981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,5981) x common factors =1 x 1 = 1
LCM(978,5981) = ( 978 × 5981 ) / 1
LCM(978,5981) = 5849418 / 1
LCM(978,5981) = 5849418
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4430/978, 6034/5981
1. What is the HCF of 4430,6034?
The HCF of 4430,6034 is 2
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 4430/978, 6034/5981?
Answer: GCF of Numerators as per given numbers 4430/978, 6034/5981 is
GCF of Numerators i.e. for 4430,6034 is 2
LCM of denominators i.e. for 978,5981 is 5849418.
Thus, GCF of Fractions is 2/5849418.Finally, GCF of Fractions for 4430/978, 6034/5981 is 2/5849418.