Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 984/47,638/1487
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 984,638
Greatest Common Factor of Numerators i.e. GCF of 984,638 is 2 .
LCM of Denominators means LCM of 47,1487 as per the given fractions.
LCM of 47,1487 is 69889 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 984,638
2 | 984, 638 |
492, 319 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 984,638 . The biggest common factor number is the GCF number.
So the greatest common factor 984,638 is 2.
Lets's calculate LCM of 47,1487
Given numbers has no common factors except 1. So, there LCM is their product i.e 69889
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/69889
Therefore, the GCF of Fractions 984/47,638/1487 is 2/69889
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 47,1487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,1487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,1487) x common factors =1 x 1 = 1
LCM(47,1487) = ( 47 × 1487 ) / 1
LCM(47,1487) = 69889 / 1
LCM(47,1487) = 69889
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 984/47, 638/1487?
Answer: GCF of Numerators as per given numbers 984/47, 638/1487 is
GCF of Numerators i.e. for 984,638 is 2
LCM of denominators i.e. for 47,1487 is 69889.
Thus, GCF of Fractions is 2/69889.Finally, GCF of Fractions for 984/47, 638/1487 is 2/69889.