Use our free GCF of Fractions Calculator tool to compute the GCF of 452/686, 378/150 i.e 2/51450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/686, 378/150.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 452/686,378/150
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 452/686,378/150, numerators are 452,378
Denominators are 686,150
The GCF of 452,378 is 2 .
LCM of 686,150 is 51450.
The greatest common factor of 452/686,378/150 = [GCF of 452,378]/[LCM of 686,150]= 2/51450
Therefore, the GCF of 452/686,378/150 is 2/51450.
To find the highest common factor of 452,378, we have to find the factors of both numbers and list the highest common factor.
The factors of 452 are 1, 2, 4, 113, 226, 452
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The HCF of 452,378 is 2.
Lets's calculate GCF of 452,378
2 | 452, 378 |
226, 189 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 452
:1,2,4,113,226,452
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 452,378 . The biggest common factor number is the GCF number.
So the greatest common factor 452,378 is 2.
Lets's calculate LCM of 686,150
2 | 686, 150 |
343, 75 |
∴ So the LCM of the given numbers is 2 x 343 x 75 = 51450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51450
Therefore, the GCF of Fractions 452/686,378/150 is 2/51450
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 686,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,150) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,150) x common factors =2 x 1 = 2
LCM(686,150) = ( 686 × 150 ) / 2
LCM(686,150) = 102900 / 2
LCM(686,150) = 51450
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 452,378?
The HCF of 452,378 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 452/686, 378/150?
Answer: GCF of Numerators as per given numbers 452/686, 378/150 is
GCF of Numerators i.e. for 452,378 is 2
LCM of denominators i.e. for 686,150 is 51450.
Thus, GCF of Fractions is 2/51450.Finally, GCF of Fractions for 452/686, 378/150 is 2/51450.