Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/86,21/12,21/77,554/19
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 63,21,21,554
Greatest Common Factor of Numerators i.e. GCF of 63,21,21,554 is 1 .
LCM of Denominators means LCM of 86,12,77,19 as per the given fractions.
LCM of 86,12,77,19 is 754908 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,21,21,554
∴ 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 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Greatest Common Factor
We found the factors 63,21,21,554 . The biggest common factor number is the GCF number.
So the greatest common factor 63,21,21,554 is 1.
Lets's calculate LCM of 86,12,77,19
2 | 86, 12, 77, 19 |
43, 6, 77, 19 |
∴ So the LCM of the given numbers is 2 x 43 x 6 x 77 x 19 = 754908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/754908
Therefore, the GCF of Fractions 63/86,21/12,21/77,554/19 is 1/754908
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 86,12,77,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,12,77,19) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,12,77,19) x common factors =1 x 2 = 2
LCM(86,12,77,19) = ( 86 × 12 × 77 × 19 ) / 2
LCM(86,12,77,19) = 1509816 / 2
LCM(86,12,77,19) = 754908
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 63/86, 21/12, 21/77, 554/19?
Answer: GCF of Numerators as per given numbers 63/86, 21/12, 21/77, 554/19 is
GCF of Numerators i.e. for 63,21,21,554 is 1
LCM of denominators i.e. for 86,12,77,19 is 754908.
Thus, GCF of Fractions is 1/754908.Finally, GCF of Fractions for 63/86, 21/12, 21/77, 554/19 is 1/754908.