Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1462/29,6732/788
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 1462,6732
Greatest Common Factor of Numerators i.e. GCF of 1462,6732 is 34 .
LCM of Denominators means LCM of 29,788 as per the given fractions.
LCM of 29,788 is 22852 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1462,6732
2 | 1462, 6732 |
17 | 731, 3366 |
43, 198 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Factors of 1462
List of positive integer factors of 1462 that divides 1462 without a remainder.
1,2,17,34,43,86,731,1462
Factors of 6732
List of positive integer factors of 6732 that divides 6732 without a remainder.
1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732
Greatest Common Factor
We found the factors 1462,6732 . The biggest common factor number is the GCF number.
So the greatest common factor 1462,6732 is 34.
Lets's calculate LCM of 29,788
Given numbers has no common factors except 1. So, there LCM is their product i.e 22852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/22852
Therefore, the GCF of Fractions 1462/29,6732/788 is 34/22852
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 29,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,788) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,788) x common factors =1 x 1 = 1
LCM(29,788) = ( 29 × 788 ) / 1
LCM(29,788) = 22852 / 1
LCM(29,788) = 22852
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 1462/29, 6732/788?
Answer: GCF of Numerators as per given numbers 1462/29, 6732/788 is
GCF of Numerators i.e. for 1462,6732 is 34
LCM of denominators i.e. for 29,788 is 22852.
Thus, GCF of Fractions is 34/22852.Finally, GCF of Fractions for 1462/29, 6732/788 is 34/22852.