Use our free GCF of Fractions Calculator tool to compute the GCF of 50/282, 88/200, 378/444 i.e 2/1043400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/282, 88/200, 378/444.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/282,88/200,378/444
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 50/282,88/200,378/444, numerators are 50,88,378
Denominators are 282,200,444
The GCF of 50,88,378 is 2 .
LCM of 282,200,444 is 1043400.
The greatest common factor of 50/282,88/200,378/444 = [GCF of 50,88,378]/[LCM of 282,200,444]= 2/1043400
Therefore, the GCF of 50/282,88/200,378/444 is 2/1043400.
To find the highest common factor of 50,88,378, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The HCF of 50,88,378 is 2.
Lets's calculate GCF of 50,88,378
2 | 50, 88, 378 |
25, 44, 189 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
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 50,88,378 . The biggest common factor number is the GCF number.
So the greatest common factor 50,88,378 is 2.
Lets's calculate LCM of 282,200,444
2 | 282, 200, 444 |
2 | 141, 100, 222 |
3 | 141, 50, 111 |
47, 50, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 50 x 37 = 1043400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1043400
Therefore, the GCF of Fractions 50/282,88/200,378/444 is 2/1043400
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 282,200,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,200,444) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(282,200,444) x common factors =2 x 12 = 24
LCM(282,200,444) = ( 282 × 200 × 444 ) / 24
LCM(282,200,444) = 25041600 / 24
LCM(282,200,444) = 1043400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 50,88,378?
The HCF of 50,88,378 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 50/282, 88/200, 378/444?
Answer: GCF of Numerators as per given numbers 50/282, 88/200, 378/444 is
GCF of Numerators i.e. for 50,88,378 is 2
LCM of denominators i.e. for 282,200,444 is 1043400.
Thus, GCF of Fractions is 2/1043400.Finally, GCF of Fractions for 50/282, 88/200, 378/444 is 2/1043400.