Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7775/36,2472/968
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 7775,2472
Greatest Common Factor of Numerators i.e. GCF of 7775,2472 is 1 .
LCM of Denominators means LCM of 36,968 as per the given fractions.
LCM of 36,968 is 8712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7775,2472
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7775
List of positive integer factors of 7775 that divides 7775 without a remainder.
1,5,25,311,1555,7775
Factors of 2472
List of positive integer factors of 2472 that divides 2472 without a remainder.
1,2,3,4,6,8,12,24,103,206,309,412,618,824,1236,2472
Greatest Common Factor
We found the factors 7775,2472 . The biggest common factor number is the GCF number.
So the greatest common factor 7775,2472 is 1.
Lets's calculate LCM of 36,968
2 | 36, 968 |
2 | 18, 484 |
9, 242 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 242 = 8712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8712
Therefore, the GCF of Fractions 7775/36,2472/968 is 1/8712
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 36,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,968) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(36,968) x common factors =4 x 1 = 4
LCM(36,968) = ( 36 × 968 ) / 4
LCM(36,968) = 34848 / 4
LCM(36,968) = 8712
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 7775/36, 2472/968?
Answer: GCF of Numerators as per given numbers 7775/36, 2472/968 is
GCF of Numerators i.e. for 7775,2472 is 1
LCM of denominators i.e. for 36,968 is 8712.
Thus, GCF of Fractions is 1/8712.Finally, GCF of Fractions for 7775/36, 2472/968 is 1/8712.