Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 487/20,852/84,465/76
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 487,852,465
Greatest Common Factor of Numerators i.e. GCF of 487,852,465 is 1 .
LCM of Denominators means LCM of 20,84,76 as per the given fractions.
LCM of 20,84,76 is 7980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 487,852,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 487,852,465 . The biggest common factor number is the GCF number.
So the greatest common factor 487,852,465 is 1.
Lets's calculate LCM of 20,84,76
2 | 20, 84, 76 |
2 | 10, 42, 38 |
5, 21, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 21 x 19 = 7980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7980
Therefore, the GCF of Fractions 487/20,852/84,465/76 is 1/7980
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 20,84,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,84,76) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(20,84,76) x common factors =4 x 4 = 16
LCM(20,84,76) = ( 20 × 84 × 76 ) / 16
LCM(20,84,76) = 127680 / 16
LCM(20,84,76) = 7980
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 487/20, 852/84, 465/76?
Answer: GCF of Numerators as per given numbers 487/20, 852/84, 465/76 is
GCF of Numerators i.e. for 487,852,465 is 1
LCM of denominators i.e. for 20,84,76 is 7980.
Thus, GCF of Fractions is 1/7980.Finally, GCF of Fractions for 487/20, 852/84, 465/76 is 1/7980.