Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/212,8662/761
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 928,8662
Greatest Common Factor of Numerators i.e. GCF of 928,8662 is 2 .
LCM of Denominators means LCM of 212,761 as per the given fractions.
LCM of 212,761 is 161332 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 928,8662
2 | 928, 8662 |
464, 4331 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 8662
List of positive integer factors of 8662 that divides 8662 without a remainder.
1,2,61,71,122,142,4331,8662
Greatest Common Factor
We found the factors 928,8662 . The biggest common factor number is the GCF number.
So the greatest common factor 928,8662 is 2.
Lets's calculate LCM of 212,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 161332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/161332
Therefore, the GCF of Fractions 928/212,8662/761 is 2/161332
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 212,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,761) x common factors =1 x 1 = 1
LCM(212,761) = ( 212 × 761 ) / 1
LCM(212,761) = 161332 / 1
LCM(212,761) = 161332
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 928/212, 8662/761?
Answer: GCF of Numerators as per given numbers 928/212, 8662/761 is
GCF of Numerators i.e. for 928,8662 is 2
LCM of denominators i.e. for 212,761 is 161332.
Thus, GCF of Fractions is 2/161332.Finally, GCF of Fractions for 928/212, 8662/761 is 2/161332.