Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 894/609,7202/969
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 894,7202
Greatest Common Factor of Numerators i.e. GCF of 894,7202 is 2 .
LCM of Denominators means LCM of 609,969 as per the given fractions.
LCM of 609,969 is 196707 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 894,7202
2 | 894, 7202 |
447, 3601 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 7202
List of positive integer factors of 7202 that divides 7202 without a remainder.
1,2,13,26,277,554,3601,7202
Greatest Common Factor
We found the factors 894,7202 . The biggest common factor number is the GCF number.
So the greatest common factor 894,7202 is 2.
Lets's calculate LCM of 609,969
3 | 609, 969 |
203, 323 |
∴ So the LCM of the given numbers is 3 x 203 x 323 = 196707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/196707
Therefore, the GCF of Fractions 894/609,7202/969 is 2/196707
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 609,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,969) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(609,969) x common factors =3 x 1 = 3
LCM(609,969) = ( 609 × 969 ) / 3
LCM(609,969) = 590121 / 3
LCM(609,969) = 196707
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 894/609, 7202/969?
Answer: GCF of Numerators as per given numbers 894/609, 7202/969 is
GCF of Numerators i.e. for 894,7202 is 2
LCM of denominators i.e. for 609,969 is 196707.
Thus, GCF of Fractions is 2/196707.Finally, GCF of Fractions for 894/609, 7202/969 is 2/196707.