Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/566,57/548,545/937
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 71,57,545
Greatest Common Factor of Numerators i.e. GCF of 71,57,545 is 1 .
LCM of Denominators means LCM of 566,548,937 as per the given fractions.
LCM of 566,548,937 is 145313708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 71,57,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 71,57,545 . The biggest common factor number is the GCF number.
So the greatest common factor 71,57,545 is 1.
Lets's calculate LCM of 566,548,937
2 | 566, 548, 937 |
283, 274, 937 |
∴ So the LCM of the given numbers is 2 x 283 x 274 x 937 = 145313708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145313708
Therefore, the GCF of Fractions 71/566,57/548,545/937 is 1/145313708
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 566,548,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,548,937) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(566,548,937) x common factors =1 x 2 = 2
LCM(566,548,937) = ( 566 × 548 × 937 ) / 2
LCM(566,548,937) = 290627416 / 2
LCM(566,548,937) = 145313708
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 71/566, 57/548, 545/937?
Answer: GCF of Numerators as per given numbers 71/566, 57/548, 545/937 is
GCF of Numerators i.e. for 71,57,545 is 1
LCM of denominators i.e. for 566,548,937 is 145313708.
Thus, GCF of Fractions is 1/145313708.Finally, GCF of Fractions for 71/566, 57/548, 545/937 is 1/145313708.