Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 812/628,7217/209
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 812,7217
Greatest Common Factor of Numerators i.e. GCF of 812,7217 is 7 .
LCM of Denominators means LCM of 628,209 as per the given fractions.
LCM of 628,209 is 131252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 812,7217
7 | 812, 7217 |
116, 1031 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Factors of 7217
List of positive integer factors of 7217 that divides 7217 without a remainder.
1,7,1031,7217
Greatest Common Factor
We found the factors 812,7217 . The biggest common factor number is the GCF number.
So the greatest common factor 812,7217 is 7.
Lets's calculate LCM of 628,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 131252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/131252
Therefore, the GCF of Fractions 812/628,7217/209 is 7/131252
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 628,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(628,209) x common factors =1 x 1 = 1
LCM(628,209) = ( 628 × 209 ) / 1
LCM(628,209) = 131252 / 1
LCM(628,209) = 131252
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 812/628, 7217/209?
Answer: GCF of Numerators as per given numbers 812/628, 7217/209 is
GCF of Numerators i.e. for 812,7217 is 7
LCM of denominators i.e. for 628,209 is 131252.
Thus, GCF of Fractions is 7/131252.Finally, GCF of Fractions for 812/628, 7217/209 is 7/131252.