Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 596/17,912/5652
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 596,912
Greatest Common Factor of Numerators i.e. GCF of 596,912 is 4 .
LCM of Denominators means LCM of 17,5652 as per the given fractions.
LCM of 17,5652 is 96084 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 596,912
2 | 596, 912 |
2 | 298, 456 |
149, 228 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 596,912 . The biggest common factor number is the GCF number.
So the greatest common factor 596,912 is 4.
Lets's calculate LCM of 17,5652
Given numbers has no common factors except 1. So, there LCM is their product i.e 96084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/96084
Therefore, the GCF of Fractions 596/17,912/5652 is 4/96084
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 17,5652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,5652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,5652) x common factors =1 x 1 = 1
LCM(17,5652) = ( 17 × 5652 ) / 1
LCM(17,5652) = 96084 / 1
LCM(17,5652) = 96084
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 596/17, 912/5652?
Answer: GCF of Numerators as per given numbers 596/17, 912/5652 is
GCF of Numerators i.e. for 596,912 is 4
LCM of denominators i.e. for 17,5652 is 96084.
Thus, GCF of Fractions is 4/96084.Finally, GCF of Fractions for 596/17, 912/5652 is 4/96084.