Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7843/598,3029/3690
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 7843,3029
Greatest Common Factor of Numerators i.e. GCF of 7843,3029 is 1 .
LCM of Denominators means LCM of 598,3690 as per the given fractions.
LCM of 598,3690 is 1103310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7843,3029
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7843
List of positive integer factors of 7843 that divides 7843 without a remainder.
1,11,23,31,253,341,713,7843
Factors of 3029
List of positive integer factors of 3029 that divides 3029 without a remainder.
1,13,233,3029
Greatest Common Factor
We found the factors 7843,3029 . The biggest common factor number is the GCF number.
So the greatest common factor 7843,3029 is 1.
Lets's calculate LCM of 598,3690
2 | 598, 3690 |
299, 1845 |
∴ So the LCM of the given numbers is 2 x 299 x 1845 = 1103310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1103310
Therefore, the GCF of Fractions 7843/598,3029/3690 is 1/1103310
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 598,3690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,3690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,3690) x common factors =2 x 1 = 2
LCM(598,3690) = ( 598 × 3690 ) / 2
LCM(598,3690) = 2206620 / 2
LCM(598,3690) = 1103310
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 7843/598, 3029/3690?
Answer: GCF of Numerators as per given numbers 7843/598, 3029/3690 is
GCF of Numerators i.e. for 7843,3029 is 1
LCM of denominators i.e. for 598,3690 is 1103310.
Thus, GCF of Fractions is 1/1103310.Finally, GCF of Fractions for 7843/598, 3029/3690 is 1/1103310.