GCF of 94/673, 2034/2018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 94/673, 2034/2018 i.e 2/1358114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/673, 2034/2018.
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 94/673,2034/2018?
Given fractions are 94/673,2034/2018
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 94/673,2034/2018, numerators are 94,2034
Denominators are 673,2018
The GCF of 94,2034 is 2 .
LCM of 673,2018 is 1358114.
The greatest common factor of 94/673,2034/2018 = [GCF of 94,2034]/[LCM of 673,2018]= 2/1358114
Therefore, the GCF of 94/673,2034/2018 is 2/1358114.
To find the highest common factor of 94,2034, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 2034 are 1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034
The HCF of 94,2034 is 2.
Lets's calculate GCF of 94,2034
| 2 | 94, 2034 |
| 47, 1017 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 94,2034 By Matching Biggest Common Factor Method
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 2034
:1,2,3,6,9,18,113,226,339,678,1017,2034
Greatest Common Factor
We found the factors 94,2034 . The biggest common factor number is the GCF number.
So the greatest common factor 94,2034 is 2.
Lets's calculate LCM of 673,2018
Given numbers has no common factors except 1. So, there LCM is their product i.e 1358114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1358114
Therefore, the GCF of Fractions 94/673,2034/2018 is 2/1358114
Least Common Multiple of 673,2018 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 673,2018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,2018) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,2018) x common factors =1 x 1 = 1
LCM(673,2018) = ( 673 × 2018 ) / 1
LCM(673,2018) = 1358114 / 1
LCM(673,2018) = 1358114
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 94/673, 2034/2018
1. What is the HCF of 94,2034?
The HCF of 94,2034 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 94/673, 2034/2018?
Answer: GCF of Numerators as per given numbers 94/673, 2034/2018 is
GCF of Numerators i.e. for 94,2034 is 2
LCM of denominators i.e. for 673,2018 is 1358114.
Thus, GCF of Fractions is 2/1358114.Finally, GCF of Fractions for 94/673, 2034/2018 is 2/1358114.