Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 120/762,2472/2767
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 120,2472
Greatest Common Factor of Numerators i.e. GCF of 120,2472 is 24 .
LCM of Denominators means LCM of 762,2767 as per the given fractions.
LCM of 762,2767 is 2108454 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 120,2472
2 | 120, 2472 |
2 | 60, 1236 |
2 | 30, 618 |
3 | 15, 309 |
5, 103 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
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 120,2472 . The biggest common factor number is the GCF number.
So the greatest common factor 120,2472 is 24.
Lets's calculate LCM of 762,2767
Given numbers has no common factors except 1. So, there LCM is their product i.e 2108454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/2108454
Therefore, the GCF of Fractions 120/762,2472/2767 is 24/2108454
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 762,2767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,2767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(762,2767) x common factors =1 x 1 = 1
LCM(762,2767) = ( 762 × 2767 ) / 1
LCM(762,2767) = 2108454 / 1
LCM(762,2767) = 2108454
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 120/762, 2472/2767?
Answer: GCF of Numerators as per given numbers 120/762, 2472/2767 is
GCF of Numerators i.e. for 120,2472 is 24
LCM of denominators i.e. for 762,2767 is 2108454.
Thus, GCF of Fractions is 24/2108454.Finally, GCF of Fractions for 120/762, 2472/2767 is 24/2108454.