Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9063/527,2301/668
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 9063,2301
Greatest Common Factor of Numerators i.e. GCF of 9063,2301 is 3 .
LCM of Denominators means LCM of 527,668 as per the given fractions.
LCM of 527,668 is 352036 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9063,2301
3 | 9063, 2301 |
3021, 767 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9063
List of positive integer factors of 9063 that divides 9063 without a remainder.
1,3,9,19,53,57,159,171,477,1007,3021,9063
Factors of 2301
List of positive integer factors of 2301 that divides 2301 without a remainder.
1,3,13,39,59,177,767,2301
Greatest Common Factor
We found the factors 9063,2301 . The biggest common factor number is the GCF number.
So the greatest common factor 9063,2301 is 3.
Lets's calculate LCM of 527,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 352036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/352036
Therefore, the GCF of Fractions 9063/527,2301/668 is 3/352036
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 527,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,668) x common factors =1 x 1 = 1
LCM(527,668) = ( 527 × 668 ) / 1
LCM(527,668) = 352036 / 1
LCM(527,668) = 352036
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 9063/527, 2301/668?
Answer: GCF of Numerators as per given numbers 9063/527, 2301/668 is
GCF of Numerators i.e. for 9063,2301 is 3
LCM of denominators i.e. for 527,668 is 352036.
Thus, GCF of Fractions is 3/352036.Finally, GCF of Fractions for 9063/527, 2301/668 is 3/352036.