Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 566/82,938/5787
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 566,938
Greatest Common Factor of Numerators i.e. GCF of 566,938 is 2 .
LCM of Denominators means LCM of 82,5787 as per the given fractions.
LCM of 82,5787 is 474534 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 566,938
2 | 566, 938 |
283, 469 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 566,938 . The biggest common factor number is the GCF number.
So the greatest common factor 566,938 is 2.
Lets's calculate LCM of 82,5787
Given numbers has no common factors except 1. So, there LCM is their product i.e 474534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/474534
Therefore, the GCF of Fractions 566/82,938/5787 is 2/474534
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 82,5787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,5787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,5787) x common factors =1 x 1 = 1
LCM(82,5787) = ( 82 × 5787 ) / 1
LCM(82,5787) = 474534 / 1
LCM(82,5787) = 474534
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 566/82, 938/5787?
Answer: GCF of Numerators as per given numbers 566/82, 938/5787 is
GCF of Numerators i.e. for 566,938 is 2
LCM of denominators i.e. for 82,5787 is 474534.
Thus, GCF of Fractions is 2/474534.Finally, GCF of Fractions for 566/82, 938/5787 is 2/474534.