Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2493/989,6450/5642
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 2493,6450
Greatest Common Factor of Numerators i.e. GCF of 2493,6450 is 3 .
LCM of Denominators means LCM of 989,5642 as per the given fractions.
LCM of 989,5642 is 5579938 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2493,6450
3 | 2493, 6450 |
831, 2150 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2493
List of positive integer factors of 2493 that divides 2493 without a remainder.
1,3,9,277,831,2493
Factors of 6450
List of positive integer factors of 6450 that divides 6450 without a remainder.
1,2,3,5,6,10,15,25,30,43,50,75,86,129,150,215,258,430,645,1075,1290,2150,3225,6450
Greatest Common Factor
We found the factors 2493,6450 . The biggest common factor number is the GCF number.
So the greatest common factor 2493,6450 is 3.
Lets's calculate LCM of 989,5642
Given numbers has no common factors except 1. So, there LCM is their product i.e 5579938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5579938
Therefore, the GCF of Fractions 2493/989,6450/5642 is 3/5579938
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 989,5642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,5642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,5642) x common factors =1 x 1 = 1
LCM(989,5642) = ( 989 × 5642 ) / 1
LCM(989,5642) = 5579938 / 1
LCM(989,5642) = 5579938
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 2493/989, 6450/5642?
Answer: GCF of Numerators as per given numbers 2493/989, 6450/5642 is
GCF of Numerators i.e. for 2493,6450 is 3
LCM of denominators i.e. for 989,5642 is 5579938.
Thus, GCF of Fractions is 3/5579938.Finally, GCF of Fractions for 2493/989, 6450/5642 is 3/5579938.