GCF of 3089/699, 2568/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3089/699, 2568/978 i.e 1/227874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3089/699, 2568/978.
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 3089/699,2568/978?
Given fractions are 3089/699,2568/978
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 3089/699,2568/978, numerators are 3089,2568
Denominators are 699,978
The GCF of 3089,2568 is 1 .
LCM of 699,978 is 227874.
The greatest common factor of 3089/699,2568/978 = [GCF of 3089,2568]/[LCM of 699,978]= 1/227874
Therefore, the GCF of 3089/699,2568/978 is 1/227874.
To find the highest common factor of 3089,2568, we have to find the factors of both numbers and list the highest common factor.
The factors of 3089 are 1, 3089
The factors of 2568 are 1, 2, 3, 4, 6, 8, 12, 24, 107, 214, 321, 428, 642, 856, 1284, 2568
The HCF of 3089,2568 is 1.
Lets's calculate GCF of 3089,2568
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3089,2568 By Matching Biggest Common Factor Method
Now, list down the factors of 3089
:1,3089
Now, list down the factors of 2568
:1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568
Greatest Common Factor
We found the factors 3089,2568 . The biggest common factor number is the GCF number.
So the greatest common factor 3089,2568 is 1.
Lets's calculate LCM of 699,978
| 3 | 699, 978 |
| 233, 326 |
∴ So the LCM of the given numbers is 3 x 233 x 326 = 227874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227874
Therefore, the GCF of Fractions 3089/699,2568/978 is 1/227874
Least Common Multiple of 699,978 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 699,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,978) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(699,978) x common factors =3 x 1 = 3
LCM(699,978) = ( 699 × 978 ) / 3
LCM(699,978) = 683622 / 3
LCM(699,978) = 227874
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3089/699, 2568/978
1. What is the HCF of 3089,2568?
The HCF of 3089,2568 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 3089/699, 2568/978?
Answer: GCF of Numerators as per given numbers 3089/699, 2568/978 is
GCF of Numerators i.e. for 3089,2568 is 1
LCM of denominators i.e. for 699,978 is 227874.
Thus, GCF of Fractions is 1/227874.Finally, GCF of Fractions for 3089/699, 2568/978 is 1/227874.