Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 816/959,526/478
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 816,526
Greatest Common Factor of Numerators i.e. GCF of 816,526 is 2 .
LCM of Denominators means LCM of 959,478 as per the given fractions.
LCM of 959,478 is 458402 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 816,526
2 | 816, 526 |
408, 263 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 816,526 . The biggest common factor number is the GCF number.
So the greatest common factor 816,526 is 2.
Lets's calculate LCM of 959,478
Given numbers has no common factors except 1. So, there LCM is their product i.e 458402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/458402
Therefore, the GCF of Fractions 816/959,526/478 is 2/458402
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 959,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,478) x common factors =1 x 1 = 1
LCM(959,478) = ( 959 × 478 ) / 1
LCM(959,478) = 458402 / 1
LCM(959,478) = 458402
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 816/959, 526/478?
Answer: GCF of Numerators as per given numbers 816/959, 526/478 is
GCF of Numerators i.e. for 816,526 is 2
LCM of denominators i.e. for 959,478 is 458402.
Thus, GCF of Fractions is 2/458402.Finally, GCF of Fractions for 816/959, 526/478 is 2/458402.