Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7455/378,4662/732
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 7455,4662
Greatest Common Factor of Numerators i.e. GCF of 7455,4662 is 21 .
LCM of Denominators means LCM of 378,732 as per the given fractions.
LCM of 378,732 is 46116 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7455,4662
3 | 7455, 4662 |
7 | 2485, 1554 |
355, 222 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 7455
List of positive integer factors of 7455 that divides 7455 without a remainder.
1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455
Factors of 4662
List of positive integer factors of 4662 that divides 4662 without a remainder.
1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Greatest Common Factor
We found the factors 7455,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 7455,4662 is 21.
Lets's calculate LCM of 378,732
2 | 378, 732 |
3 | 189, 366 |
63, 122 |
∴ So the LCM of the given numbers is 2 x 3 x 63 x 122 = 46116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/46116
Therefore, the GCF of Fractions 7455/378,4662/732 is 21/46116
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 378,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,732) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(378,732) x common factors =6 x 1 = 6
LCM(378,732) = ( 378 × 732 ) / 6
LCM(378,732) = 276696 / 6
LCM(378,732) = 46116
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 7455/378, 4662/732?
Answer: GCF of Numerators as per given numbers 7455/378, 4662/732 is
GCF of Numerators i.e. for 7455,4662 is 21
LCM of denominators i.e. for 378,732 is 46116.
Thus, GCF of Fractions is 21/46116.Finally, GCF of Fractions for 7455/378, 4662/732 is 21/46116.