Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9567/709,1512/7336
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 9567,1512
Greatest Common Factor of Numerators i.e. GCF of 9567,1512 is 9 .
LCM of Denominators means LCM of 709,7336 as per the given fractions.
LCM of 709,7336 is 5201224 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9567,1512
3 | 9567, 1512 |
3 | 3189, 504 |
1063, 168 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 9567
List of positive integer factors of 9567 that divides 9567 without a remainder.
1,3,9,1063,3189,9567
Factors of 1512
List of positive integer factors of 1512 that divides 1512 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512
Greatest Common Factor
We found the factors 9567,1512 . The biggest common factor number is the GCF number.
So the greatest common factor 9567,1512 is 9.
Lets's calculate LCM of 709,7336
Given numbers has no common factors except 1. So, there LCM is their product i.e 5201224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/5201224
Therefore, the GCF of Fractions 9567/709,1512/7336 is 9/5201224
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 709,7336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,7336) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,7336) x common factors =1 x 1 = 1
LCM(709,7336) = ( 709 × 7336 ) / 1
LCM(709,7336) = 5201224 / 1
LCM(709,7336) = 5201224
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 9567/709, 1512/7336?
Answer: GCF of Numerators as per given numbers 9567/709, 1512/7336 is
GCF of Numerators i.e. for 9567,1512 is 9
LCM of denominators i.e. for 709,7336 is 5201224.
Thus, GCF of Fractions is 9/5201224.Finally, GCF of Fractions for 9567/709, 1512/7336 is 9/5201224.