Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6500/474,6309/9938
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 6500,6309
Greatest Common Factor of Numerators i.e. GCF of 6500,6309 is 1 .
LCM of Denominators means LCM of 474,9938 as per the given fractions.
LCM of 474,9938 is 2355306 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6500,6309
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6500
List of positive integer factors of 6500 that divides 6500 without a remainder.
1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500
Factors of 6309
List of positive integer factors of 6309 that divides 6309 without a remainder.
1,3,9,701,2103,6309
Greatest Common Factor
We found the factors 6500,6309 . The biggest common factor number is the GCF number.
So the greatest common factor 6500,6309 is 1.
Lets's calculate LCM of 474,9938
2 | 474, 9938 |
237, 4969 |
∴ So the LCM of the given numbers is 2 x 237 x 4969 = 2355306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2355306
Therefore, the GCF of Fractions 6500/474,6309/9938 is 1/2355306
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 474,9938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,9938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,9938) x common factors =2 x 1 = 2
LCM(474,9938) = ( 474 × 9938 ) / 2
LCM(474,9938) = 4710612 / 2
LCM(474,9938) = 2355306
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 6500/474, 6309/9938?
Answer: GCF of Numerators as per given numbers 6500/474, 6309/9938 is
GCF of Numerators i.e. for 6500,6309 is 1
LCM of denominators i.e. for 474,9938 is 2355306.
Thus, GCF of Fractions is 1/2355306.Finally, GCF of Fractions for 6500/474, 6309/9938 is 1/2355306.