GCF of 3112/654, 9254/2017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3112/654, 9254/2017 i.e 2/1319118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3112/654, 9254/2017.
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 3112/654,9254/2017?
Given fractions are 3112/654,9254/2017
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 3112/654,9254/2017, numerators are 3112,9254
Denominators are 654,2017
The GCF of 3112,9254 is 2 .
LCM of 654,2017 is 1319118.
The greatest common factor of 3112/654,9254/2017 = [GCF of 3112,9254]/[LCM of 654,2017]= 2/1319118
Therefore, the GCF of 3112/654,9254/2017 is 2/1319118.
To find the highest common factor of 3112,9254, we have to find the factors of both numbers and list the highest common factor.
The factors of 3112 are 1, 2, 4, 8, 389, 778, 1556, 3112
The factors of 9254 are 1, 2, 7, 14, 661, 1322, 4627, 9254
The HCF of 3112,9254 is 2.
Lets's calculate GCF of 3112,9254
| 2 | 3112, 9254 |
| 1556, 4627 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3112,9254 By Matching Biggest Common Factor Method
Now, list down the factors of 3112
:1,2,4,8,389,778,1556,3112
Now, list down the factors of 9254
:1,2,7,14,661,1322,4627,9254
Greatest Common Factor
We found the factors 3112,9254 . The biggest common factor number is the GCF number.
So the greatest common factor 3112,9254 is 2.
Lets's calculate LCM of 654,2017
Given numbers has no common factors except 1. So, there LCM is their product i.e 1319118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1319118
Therefore, the GCF of Fractions 3112/654,9254/2017 is 2/1319118
Least Common Multiple of 654,2017 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 654,2017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,2017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(654,2017) x common factors =1 x 1 = 1
LCM(654,2017) = ( 654 × 2017 ) / 1
LCM(654,2017) = 1319118 / 1
LCM(654,2017) = 1319118
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3112/654, 9254/2017
1. What is the HCF of 3112,9254?
The HCF of 3112,9254 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 3112/654, 9254/2017?
Answer: GCF of Numerators as per given numbers 3112/654, 9254/2017 is
GCF of Numerators i.e. for 3112,9254 is 2
LCM of denominators i.e. for 654,2017 is 1319118.
Thus, GCF of Fractions is 2/1319118.Finally, GCF of Fractions for 3112/654, 9254/2017 is 2/1319118.