Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 951/880,9549/447
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 951,9549
Greatest Common Factor of Numerators i.e. GCF of 951,9549 is 3 .
LCM of Denominators means LCM of 880,447 as per the given fractions.
LCM of 880,447 is 393360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 951,9549
3 | 951, 9549 |
317, 3183 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 9549
List of positive integer factors of 9549 that divides 9549 without a remainder.
1,3,9,1061,3183,9549
Greatest Common Factor
We found the factors 951,9549 . The biggest common factor number is the GCF number.
So the greatest common factor 951,9549 is 3.
Lets's calculate LCM of 880,447
Given numbers has no common factors except 1. So, there LCM is their product i.e 393360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/393360
Therefore, the GCF of Fractions 951/880,9549/447 is 3/393360
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 880,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(880,447) x common factors =1 x 1 = 1
LCM(880,447) = ( 880 × 447 ) / 1
LCM(880,447) = 393360 / 1
LCM(880,447) = 393360
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 951/880, 9549/447?
Answer: GCF of Numerators as per given numbers 951/880, 9549/447 is
GCF of Numerators i.e. for 951,9549 is 3
LCM of denominators i.e. for 880,447 is 393360.
Thus, GCF of Fractions is 3/393360.Finally, GCF of Fractions for 951/880, 9549/447 is 3/393360.