Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 462/53,7271/662
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 462,7271
Greatest Common Factor of Numerators i.e. GCF of 462,7271 is 11 .
LCM of Denominators means LCM of 53,662 as per the given fractions.
LCM of 53,662 is 35086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 462,7271
11 | 462, 7271 |
42, 661 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 7271
List of positive integer factors of 7271 that divides 7271 without a remainder.
1,11,661,7271
Greatest Common Factor
We found the factors 462,7271 . The biggest common factor number is the GCF number.
So the greatest common factor 462,7271 is 11.
Lets's calculate LCM of 53,662
Given numbers has no common factors except 1. So, there LCM is their product i.e 35086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/35086
Therefore, the GCF of Fractions 462/53,7271/662 is 11/35086
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 53,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,662) x common factors =1 x 1 = 1
LCM(53,662) = ( 53 × 662 ) / 1
LCM(53,662) = 35086 / 1
LCM(53,662) = 35086
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 462/53, 7271/662?
Answer: GCF of Numerators as per given numbers 462/53, 7271/662 is
GCF of Numerators i.e. for 462,7271 is 11
LCM of denominators i.e. for 53,662 is 35086.
Thus, GCF of Fractions is 11/35086.Finally, GCF of Fractions for 462/53, 7271/662 is 11/35086.