Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/989,472/592
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 52,472
Greatest Common Factor of Numerators i.e. GCF of 52,472 is 4 .
LCM of Denominators means LCM of 989,592 as per the given fractions.
LCM of 989,592 is 585488 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,472
2 | 52, 472 |
2 | 26, 236 |
13, 118 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 52,472 . The biggest common factor number is the GCF number.
So the greatest common factor 52,472 is 4.
Lets's calculate LCM of 989,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 585488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/585488
Therefore, the GCF of Fractions 52/989,472/592 is 4/585488
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 989,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,592) x common factors =1 x 1 = 1
LCM(989,592) = ( 989 × 592 ) / 1
LCM(989,592) = 585488 / 1
LCM(989,592) = 585488
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 52/989, 472/592?
Answer: GCF of Numerators as per given numbers 52/989, 472/592 is
GCF of Numerators i.e. for 52,472 is 4
LCM of denominators i.e. for 989,592 is 585488.
Thus, GCF of Fractions is 4/585488.Finally, GCF of Fractions for 52/989, 472/592 is 4/585488.