Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/56,12/40,378/59
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 63,12,378
Greatest Common Factor of Numerators i.e. GCF of 63,12,378 is 3 .
LCM of Denominators means LCM of 56,40,59 as per the given fractions.
LCM of 56,40,59 is 16520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,12,378
3 | 63, 12, 378 |
21, 4, 126 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 63,12,378 . The biggest common factor number is the GCF number.
So the greatest common factor 63,12,378 is 3.
Lets's calculate LCM of 56,40,59
2 | 56, 40, 59 |
2 | 28, 20, 59 |
2 | 14, 10, 59 |
7, 5, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 5 x 59 = 16520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16520
Therefore, the GCF of Fractions 63/56,12/40,378/59 is 3/16520
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 56,40,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,40,59) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(56,40,59) x common factors =1 x 8 = 8
LCM(56,40,59) = ( 56 × 40 × 59 ) / 8
LCM(56,40,59) = 132160 / 8
LCM(56,40,59) = 16520
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 63/56, 12/40, 378/59?
Answer: GCF of Numerators as per given numbers 63/56, 12/40, 378/59 is
GCF of Numerators i.e. for 63,12,378 is 3
LCM of denominators i.e. for 56,40,59 is 16520.
Thus, GCF of Fractions is 3/16520.Finally, GCF of Fractions for 63/56, 12/40, 378/59 is 3/16520.