Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 643/87,207/90,423/34
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 643,207,423
Greatest Common Factor of Numerators i.e. GCF of 643,207,423 is 1 .
LCM of Denominators means LCM of 87,90,34 as per the given fractions.
LCM of 87,90,34 is 44370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 643,207,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Greatest Common Factor
We found the factors 643,207,423 . The biggest common factor number is the GCF number.
So the greatest common factor 643,207,423 is 1.
Lets's calculate LCM of 87,90,34
2 | 87, 90, 34 |
3 | 87, 45, 17 |
29, 15, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 15 x 17 = 44370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44370
Therefore, the GCF of Fractions 643/87,207/90,423/34 is 1/44370
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 87,90,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,90,34) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(87,90,34) x common factors =1 x 6 = 6
LCM(87,90,34) = ( 87 × 90 × 34 ) / 6
LCM(87,90,34) = 266220 / 6
LCM(87,90,34) = 44370
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 643/87, 207/90, 423/34?
Answer: GCF of Numerators as per given numbers 643/87, 207/90, 423/34 is
GCF of Numerators i.e. for 643,207,423 is 1
LCM of denominators i.e. for 87,90,34 is 44370.
Thus, GCF of Fractions is 1/44370.Finally, GCF of Fractions for 643/87, 207/90, 423/34 is 1/44370.