Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/410,267/668,102/226
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 63,267,102
Greatest Common Factor of Numerators i.e. GCF of 63,267,102 is 3 .
LCM of Denominators means LCM of 410,668,226 as per the given fractions.
LCM of 410,668,226 is 15474220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,267,102
3 | 63, 267, 102 |
21, 89, 34 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 63,267,102 . The biggest common factor number is the GCF number.
So the greatest common factor 63,267,102 is 3.
Lets's calculate LCM of 410,668,226
2 | 410, 668, 226 |
205, 334, 113 |
∴ So the LCM of the given numbers is 2 x 205 x 334 x 113 = 15474220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15474220
Therefore, the GCF of Fractions 63/410,267/668,102/226 is 3/15474220
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 410,668,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,668,226) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(410,668,226) x common factors =2 x 2 = 4
LCM(410,668,226) = ( 410 × 668 × 226 ) / 4
LCM(410,668,226) = 61896880 / 4
LCM(410,668,226) = 15474220
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 63/410, 267/668, 102/226?
Answer: GCF of Numerators as per given numbers 63/410, 267/668, 102/226 is
GCF of Numerators i.e. for 63,267,102 is 3
LCM of denominators i.e. for 410,668,226 is 15474220.
Thus, GCF of Fractions is 3/15474220.Finally, GCF of Fractions for 63/410, 267/668, 102/226 is 3/15474220.