Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 222/20,804/90,300/127
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 222,804,300
Greatest Common Factor of Numerators i.e. GCF of 222,804,300 is 6 .
LCM of Denominators means LCM of 20,90,127 as per the given fractions.
LCM of 20,90,127 is 22860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 222,804,300
2 | 222, 804, 300 |
3 | 111, 402, 150 |
37, 134, 50 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 222,804,300 . The biggest common factor number is the GCF number.
So the greatest common factor 222,804,300 is 6.
Lets's calculate LCM of 20,90,127
2 | 20, 90, 127 |
5 | 10, 45, 127 |
2, 9, 127 |
∴ So the LCM of the given numbers is 2 x 5 x 2 x 9 x 127 = 22860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/22860
Therefore, the GCF of Fractions 222/20,804/90,300/127 is 6/22860
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 20,90,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,90,127) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(20,90,127) x common factors =1 x 10 = 10
LCM(20,90,127) = ( 20 × 90 × 127 ) / 10
LCM(20,90,127) = 228600 / 10
LCM(20,90,127) = 22860
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 222/20, 804/90, 300/127?
Answer: GCF of Numerators as per given numbers 222/20, 804/90, 300/127 is
GCF of Numerators i.e. for 222,804,300 is 6
LCM of denominators i.e. for 20,90,127 is 22860.
Thus, GCF of Fractions is 6/22860.Finally, GCF of Fractions for 222/20, 804/90, 300/127 is 6/22860.