Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/39,573/78,428/944
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 63,573,428
Greatest Common Factor of Numerators i.e. GCF of 63,573,428 is 1 .
LCM of Denominators means LCM of 39,78,944 as per the given fractions.
LCM of 39,78,944 is 36816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,573,428
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Greatest Common Factor
We found the factors 63,573,428 . The biggest common factor number is the GCF number.
So the greatest common factor 63,573,428 is 1.
Lets's calculate LCM of 39,78,944
2 | 39, 78, 944 |
3 | 39, 39, 472 |
13 | 13, 13, 472 |
1, 1, 472 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 1 x 472 = 36816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36816
Therefore, the GCF of Fractions 63/39,573/78,428/944 is 1/36816
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 39,78,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,78,944) = 1
common factors(in case of two or more numbers have common factors) = 78
GCF(39,78,944) x common factors =1 x 78 = 78
LCM(39,78,944) = ( 39 × 78 × 944 ) / 78
LCM(39,78,944) = 2871648 / 78
LCM(39,78,944) = 36816
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 63/39, 573/78, 428/944?
Answer: GCF of Numerators as per given numbers 63/39, 573/78, 428/944 is
GCF of Numerators i.e. for 63,573,428 is 1
LCM of denominators i.e. for 39,78,944 is 36816.
Thus, GCF of Fractions is 1/36816.Finally, GCF of Fractions for 63/39, 573/78, 428/944 is 1/36816.