Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/90,63/26,90/840,601/440
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 3,63,90,601
Greatest Common Factor of Numerators i.e. GCF of 3,63,90,601 is 1 .
LCM of Denominators means LCM of 90,26,840,440 as per the given fractions.
LCM of 90,26,840,440 is 360360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,63,90,601
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Greatest Common Factor
We found the factors 3,63,90,601 . The biggest common factor number is the GCF number.
So the greatest common factor 3,63,90,601 is 1.
Lets's calculate LCM of 90,26,840,440
2 | 90, 26, 840, 440 |
2 | 45, 13, 420, 220 |
2 | 45, 13, 210, 110 |
3 | 45, 13, 105, 55 |
5 | 15, 13, 35, 55 |
3, 13, 7, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 3 x 13 x 7 x 11 = 360360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360360
Therefore, the GCF of Fractions 3/90,63/26,90/840,601/440 is 1/360360
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 90,26,840,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,26,840,440) = 2
common factors(in case of two or more numbers have common factors) = 1200
GCF(90,26,840,440) x common factors =2 x 1200 = 2400
LCM(90,26,840,440) = ( 90 × 26 × 840 × 440 ) / 2400
LCM(90,26,840,440) = 864864000 / 2400
LCM(90,26,840,440) = 360360
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 3/90, 63/26, 90/840, 601/440?
Answer: GCF of Numerators as per given numbers 3/90, 63/26, 90/840, 601/440 is
GCF of Numerators i.e. for 3,63,90,601 is 1
LCM of denominators i.e. for 90,26,840,440 is 360360.
Thus, GCF of Fractions is 1/360360.Finally, GCF of Fractions for 3/90, 63/26, 90/840, 601/440 is 1/360360.