GCF of 649/378, 212/450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 649/378, 212/450 i.e 1/9450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 649/378, 212/450.
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 649/378,212/450?
Given fractions are 649/378,212/450
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 649/378,212/450, numerators are 649,212
Denominators are 378,450
The GCF of 649,212 is 1 .
LCM of 378,450 is 9450.
The greatest common factor of 649/378,212/450 = [GCF of 649,212]/[LCM of 378,450]= 1/9450
Therefore, the GCF of 649/378,212/450 is 1/9450.
To find the highest common factor of 649,212, we have to find the factors of both numbers and list the highest common factor.
The factors of 649 are 1, 11, 59, 649
The factors of 212 are 1, 2, 4, 53, 106, 212
The HCF of 649,212 is 1.
Lets's calculate GCF of 649,212
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 649,212 By Matching Biggest Common Factor Method
Now, list down the factors of 649
:1,11,59,649
Now, list down the factors of 212
:1,2,4,53,106,212
Greatest Common Factor
We found the factors 649,212 . The biggest common factor number is the GCF number.
So the greatest common factor 649,212 is 1.
Lets's calculate LCM of 378,450
| 2 | 378, 450 |
| 3 | 189, 225 |
| 3 | 63, 75 |
| 21, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 21 x 25 = 9450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9450
Therefore, the GCF of Fractions 649/378,212/450 is 1/9450
Least Common Multiple of 378,450 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 378,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,450) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(378,450) x common factors =18 x 1 = 18
LCM(378,450) = ( 378 × 450 ) / 18
LCM(378,450) = 170100 / 18
LCM(378,450) = 9450
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 649/378, 212/450
1. What is the HCF of 649,212?
The HCF of 649,212 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 649/378, 212/450?
Answer: GCF of Numerators as per given numbers 649/378, 212/450 is
GCF of Numerators i.e. for 649,212 is 1
LCM of denominators i.e. for 378,450 is 9450.
Thus, GCF of Fractions is 1/9450.Finally, GCF of Fractions for 649/378, 212/450 is 1/9450.