Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5042/63,4730/989
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 5042,4730
Greatest Common Factor of Numerators i.e. GCF of 5042,4730 is 2 .
LCM of Denominators means LCM of 63,989 as per the given fractions.
LCM of 63,989 is 62307 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5042,4730
2 | 5042, 4730 |
2521, 2365 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5042
List of positive integer factors of 5042 that divides 5042 without a remainder.
1,2,2521,5042
Factors of 4730
List of positive integer factors of 4730 that divides 4730 without a remainder.
1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730
Greatest Common Factor
We found the factors 5042,4730 . The biggest common factor number is the GCF number.
So the greatest common factor 5042,4730 is 2.
Lets's calculate LCM of 63,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 62307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62307
Therefore, the GCF of Fractions 5042/63,4730/989 is 2/62307
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 63,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,989) x common factors =1 x 1 = 1
LCM(63,989) = ( 63 × 989 ) / 1
LCM(63,989) = 62307 / 1
LCM(63,989) = 62307
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 5042/63, 4730/989?
Answer: GCF of Numerators as per given numbers 5042/63, 4730/989 is
GCF of Numerators i.e. for 5042,4730 is 2
LCM of denominators i.e. for 63,989 is 62307.
Thus, GCF of Fractions is 2/62307.Finally, GCF of Fractions for 5042/63, 4730/989 is 2/62307.