Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 228/20,423/22,670/84
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 228,423,670
Greatest Common Factor of Numerators i.e. GCF of 228,423,670 is 1 .
LCM of Denominators means LCM of 20,22,84 as per the given fractions.
LCM of 20,22,84 is 4620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 228,423,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 228,423,670 . The biggest common factor number is the GCF number.
So the greatest common factor 228,423,670 is 1.
Lets's calculate LCM of 20,22,84
2 | 20, 22, 84 |
2 | 10, 11, 42 |
5, 11, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 21 = 4620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620
Therefore, the GCF of Fractions 228/20,423/22,670/84 is 1/4620
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 20,22,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,22,84) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(20,22,84) x common factors =2 x 4 = 8
LCM(20,22,84) = ( 20 × 22 × 84 ) / 8
LCM(20,22,84) = 36960 / 8
LCM(20,22,84) = 4620
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 228/20, 423/22, 670/84?
Answer: GCF of Numerators as per given numbers 228/20, 423/22, 670/84 is
GCF of Numerators i.e. for 228,423,670 is 1
LCM of denominators i.e. for 20,22,84 is 4620.
Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 228/20, 423/22, 670/84 is 1/4620.