Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 207/41,282/9550
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 207,282
Greatest Common Factor of Numerators i.e. GCF of 207,282 is 3 .
LCM of Denominators means LCM of 41,9550 as per the given fractions.
LCM of 41,9550 is 391550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 207,282
3 | 207, 282 |
69, 94 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 207,282 . The biggest common factor number is the GCF number.
So the greatest common factor 207,282 is 3.
Lets's calculate LCM of 41,9550
Given numbers has no common factors except 1. So, there LCM is their product i.e 391550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/391550
Therefore, the GCF of Fractions 207/41,282/9550 is 3/391550
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 41,9550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,9550) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,9550) x common factors =1 x 1 = 1
LCM(41,9550) = ( 41 × 9550 ) / 1
LCM(41,9550) = 391550 / 1
LCM(41,9550) = 391550
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 207/41, 282/9550?
Answer: GCF of Numerators as per given numbers 207/41, 282/9550 is
GCF of Numerators i.e. for 207,282 is 3
LCM of denominators i.e. for 41,9550 is 391550.
Thus, GCF of Fractions is 3/391550.Finally, GCF of Fractions for 207/41, 282/9550 is 3/391550.