Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7551/50,9852/527
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 7551,9852
Greatest Common Factor of Numerators i.e. GCF of 7551,9852 is 3 .
LCM of Denominators means LCM of 50,527 as per the given fractions.
LCM of 50,527 is 26350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7551,9852
3 | 7551, 9852 |
2517, 3284 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7551
List of positive integer factors of 7551 that divides 7551 without a remainder.
1,3,9,839,2517,7551
Factors of 9852
List of positive integer factors of 9852 that divides 9852 without a remainder.
1,2,3,4,6,12,821,1642,2463,3284,4926,9852
Greatest Common Factor
We found the factors 7551,9852 . The biggest common factor number is the GCF number.
So the greatest common factor 7551,9852 is 3.
Lets's calculate LCM of 50,527
Given numbers has no common factors except 1. So, there LCM is their product i.e 26350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26350
Therefore, the GCF of Fractions 7551/50,9852/527 is 3/26350
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 50,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,527) x common factors =1 x 1 = 1
LCM(50,527) = ( 50 × 527 ) / 1
LCM(50,527) = 26350 / 1
LCM(50,527) = 26350
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 7551/50, 9852/527?
Answer: GCF of Numerators as per given numbers 7551/50, 9852/527 is
GCF of Numerators i.e. for 7551,9852 is 3
LCM of denominators i.e. for 50,527 is 26350.
Thus, GCF of Fractions is 3/26350.Finally, GCF of Fractions for 7551/50, 9852/527 is 3/26350.