Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1424/43,6692/443
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 1424,6692
Greatest Common Factor of Numerators i.e. GCF of 1424,6692 is 4 .
LCM of Denominators means LCM of 43,443 as per the given fractions.
LCM of 43,443 is 19049 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1424,6692
2 | 1424, 6692 |
2 | 712, 3346 |
356, 1673 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1424
List of positive integer factors of 1424 that divides 1424 without a remainder.
1,2,4,8,16,89,178,356,712,1424
Factors of 6692
List of positive integer factors of 6692 that divides 6692 without a remainder.
1,2,4,7,14,28,239,478,956,1673,3346,6692
Greatest Common Factor
We found the factors 1424,6692 . The biggest common factor number is the GCF number.
So the greatest common factor 1424,6692 is 4.
Lets's calculate LCM of 43,443
Given numbers has no common factors except 1. So, there LCM is their product i.e 19049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/19049
Therefore, the GCF of Fractions 1424/43,6692/443 is 4/19049
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 43,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,443) x common factors =1 x 1 = 1
LCM(43,443) = ( 43 × 443 ) / 1
LCM(43,443) = 19049 / 1
LCM(43,443) = 19049
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 1424/43, 6692/443?
Answer: GCF of Numerators as per given numbers 1424/43, 6692/443 is
GCF of Numerators i.e. for 1424,6692 is 4
LCM of denominators i.e. for 43,443 is 19049.
Thus, GCF of Fractions is 4/19049.Finally, GCF of Fractions for 1424/43, 6692/443 is 4/19049.