Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7709/812,1443/4929
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 7709,1443
Greatest Common Factor of Numerators i.e. GCF of 7709,1443 is 13 .
LCM of Denominators means LCM of 812,4929 as per the given fractions.
LCM of 812,4929 is 4002348 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7709,1443
13 | 7709, 1443 |
593, 111 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 7709
List of positive integer factors of 7709 that divides 7709 without a remainder.
1,13,593,7709
Factors of 1443
List of positive integer factors of 1443 that divides 1443 without a remainder.
1,3,13,37,39,111,481,1443
Greatest Common Factor
We found the factors 7709,1443 . The biggest common factor number is the GCF number.
So the greatest common factor 7709,1443 is 13.
Lets's calculate LCM of 812,4929
Given numbers has no common factors except 1. So, there LCM is their product i.e 4002348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4002348
Therefore, the GCF of Fractions 7709/812,1443/4929 is 13/4002348
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 812,4929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,4929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,4929) x common factors =1 x 1 = 1
LCM(812,4929) = ( 812 × 4929 ) / 1
LCM(812,4929) = 4002348 / 1
LCM(812,4929) = 4002348
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 7709/812, 1443/4929?
Answer: GCF of Numerators as per given numbers 7709/812, 1443/4929 is
GCF of Numerators i.e. for 7709,1443 is 13
LCM of denominators i.e. for 812,4929 is 4002348.
Thus, GCF of Fractions is 13/4002348.Finally, GCF of Fractions for 7709/812, 1443/4929 is 13/4002348.