Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9623/414,8767/250
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 9623,8767
Greatest Common Factor of Numerators i.e. GCF of 9623,8767 is 1 .
LCM of Denominators means LCM of 414,250 as per the given fractions.
LCM of 414,250 is 51750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9623,8767
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9623
List of positive integer factors of 9623 that divides 9623 without a remainder.
1,9623
Factors of 8767
List of positive integer factors of 8767 that divides 8767 without a remainder.
1,11,797,8767
Greatest Common Factor
We found the factors 9623,8767 . The biggest common factor number is the GCF number.
So the greatest common factor 9623,8767 is 1.
Lets's calculate LCM of 414,250
2 | 414, 250 |
207, 125 |
∴ So the LCM of the given numbers is 2 x 207 x 125 = 51750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51750
Therefore, the GCF of Fractions 9623/414,8767/250 is 1/51750
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 414,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,250) x common factors =2 x 1 = 2
LCM(414,250) = ( 414 × 250 ) / 2
LCM(414,250) = 103500 / 2
LCM(414,250) = 51750
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 9623/414, 8767/250?
Answer: GCF of Numerators as per given numbers 9623/414, 8767/250 is
GCF of Numerators i.e. for 9623,8767 is 1
LCM of denominators i.e. for 414,250 is 51750.
Thus, GCF of Fractions is 1/51750.Finally, GCF of Fractions for 9623/414, 8767/250 is 1/51750.