Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 924/17,916/3907
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 924,916
Greatest Common Factor of Numerators i.e. GCF of 924,916 is 4 .
LCM of Denominators means LCM of 17,3907 as per the given fractions.
LCM of 17,3907 is 66419 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 924,916
2 | 924, 916 |
2 | 462, 458 |
231, 229 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Greatest Common Factor
We found the factors 924,916 . The biggest common factor number is the GCF number.
So the greatest common factor 924,916 is 4.
Lets's calculate LCM of 17,3907
Given numbers has no common factors except 1. So, there LCM is their product i.e 66419
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/66419
Therefore, the GCF of Fractions 924/17,916/3907 is 4/66419
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 17,3907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,3907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,3907) x common factors =1 x 1 = 1
LCM(17,3907) = ( 17 × 3907 ) / 1
LCM(17,3907) = 66419 / 1
LCM(17,3907) = 66419
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 924/17, 916/3907?
Answer: GCF of Numerators as per given numbers 924/17, 916/3907 is
GCF of Numerators i.e. for 924,916 is 4
LCM of denominators i.e. for 17,3907 is 66419.
Thus, GCF of Fractions is 4/66419.Finally, GCF of Fractions for 924/17, 916/3907 is 4/66419.