Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4902/939,6464/551
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 4902,6464
Greatest Common Factor of Numerators i.e. GCF of 4902,6464 is 2 .
LCM of Denominators means LCM of 939,551 as per the given fractions.
LCM of 939,551 is 517389 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4902,6464
2 | 4902, 6464 |
2451, 3232 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4902
List of positive integer factors of 4902 that divides 4902 without a remainder.
1,2,3,6,19,38,43,57,86,114,129,258,817,1634,2451,4902
Factors of 6464
List of positive integer factors of 6464 that divides 6464 without a remainder.
1,2,4,8,16,32,64,101,202,404,808,1616,3232,6464
Greatest Common Factor
We found the factors 4902,6464 . The biggest common factor number is the GCF number.
So the greatest common factor 4902,6464 is 2.
Lets's calculate LCM of 939,551
Given numbers has no common factors except 1. So, there LCM is their product i.e 517389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/517389
Therefore, the GCF of Fractions 4902/939,6464/551 is 2/517389
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 939,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,551) x common factors =1 x 1 = 1
LCM(939,551) = ( 939 × 551 ) / 1
LCM(939,551) = 517389 / 1
LCM(939,551) = 517389
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 4902/939, 6464/551?
Answer: GCF of Numerators as per given numbers 4902/939, 6464/551 is
GCF of Numerators i.e. for 4902,6464 is 2
LCM of denominators i.e. for 939,551 is 517389.
Thus, GCF of Fractions is 2/517389.Finally, GCF of Fractions for 4902/939, 6464/551 is 2/517389.