Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1308/31,7809/542
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 1308,7809
Greatest Common Factor of Numerators i.e. GCF of 1308,7809 is 3 .
LCM of Denominators means LCM of 31,542 as per the given fractions.
LCM of 31,542 is 16802 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1308,7809
3 | 1308, 7809 |
436, 2603 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1308
List of positive integer factors of 1308 that divides 1308 without a remainder.
1,2,3,4,6,12,109,218,327,436,654,1308
Factors of 7809
List of positive integer factors of 7809 that divides 7809 without a remainder.
1,3,19,57,137,411,2603,7809
Greatest Common Factor
We found the factors 1308,7809 . The biggest common factor number is the GCF number.
So the greatest common factor 1308,7809 is 3.
Lets's calculate LCM of 31,542
Given numbers has no common factors except 1. So, there LCM is their product i.e 16802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16802
Therefore, the GCF of Fractions 1308/31,7809/542 is 3/16802
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 31,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,542) x common factors =1 x 1 = 1
LCM(31,542) = ( 31 × 542 ) / 1
LCM(31,542) = 16802 / 1
LCM(31,542) = 16802
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 1308/31, 7809/542?
Answer: GCF of Numerators as per given numbers 1308/31, 7809/542 is
GCF of Numerators i.e. for 1308,7809 is 3
LCM of denominators i.e. for 31,542 is 16802.
Thus, GCF of Fractions is 3/16802.Finally, GCF of Fractions for 1308/31, 7809/542 is 3/16802.