GCF of 330/133, 782/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 330/133, 782/674 i.e 2/89642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 330/133, 782/674.
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 330/133,782/674?
Given fractions are 330/133,782/674
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 330/133,782/674, numerators are 330,782
Denominators are 133,674
The GCF of 330,782 is 2 .
LCM of 133,674 is 89642.
The greatest common factor of 330/133,782/674 = [GCF of 330,782]/[LCM of 133,674]= 2/89642
Therefore, the GCF of 330/133,782/674 is 2/89642.
To find the highest common factor of 330,782, we have to find the factors of both numbers and list the highest common factor.
The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 330,782 is 2.
Lets's calculate GCF of 330,782
| 2 | 330, 782 |
| 165, 391 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 330,782 By Matching Biggest Common Factor Method
Now, list down the factors of 330
:1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 330,782 . The biggest common factor number is the GCF number.
So the greatest common factor 330,782 is 2.
Lets's calculate LCM of 133,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 89642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89642
Therefore, the GCF of Fractions 330/133,782/674 is 2/89642
Least Common Multiple of 133,674 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 133,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,674) x common factors =1 x 1 = 1
LCM(133,674) = ( 133 × 674 ) / 1
LCM(133,674) = 89642 / 1
LCM(133,674) = 89642
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 330/133, 782/674
1. What is the HCF of 330,782?
The HCF of 330,782 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 330/133, 782/674?
Answer: GCF of Numerators as per given numbers 330/133, 782/674 is
GCF of Numerators i.e. for 330,782 is 2
LCM of denominators i.e. for 133,674 is 89642.
Thus, GCF of Fractions is 2/89642.Finally, GCF of Fractions for 330/133, 782/674 is 2/89642.