Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6433/934,5318/715
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 6433,5318
Greatest Common Factor of Numerators i.e. GCF of 6433,5318 is 1 .
LCM of Denominators means LCM of 934,715 as per the given fractions.
LCM of 934,715 is 667810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6433,5318
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6433
List of positive integer factors of 6433 that divides 6433 without a remainder.
1,7,919,6433
Factors of 5318
List of positive integer factors of 5318 that divides 5318 without a remainder.
1,2,2659,5318
Greatest Common Factor
We found the factors 6433,5318 . The biggest common factor number is the GCF number.
So the greatest common factor 6433,5318 is 1.
Lets's calculate LCM of 934,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 667810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/667810
Therefore, the GCF of Fractions 6433/934,5318/715 is 1/667810
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 934,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,715) x common factors =1 x 1 = 1
LCM(934,715) = ( 934 × 715 ) / 1
LCM(934,715) = 667810 / 1
LCM(934,715) = 667810
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 6433/934, 5318/715?
Answer: GCF of Numerators as per given numbers 6433/934, 5318/715 is
GCF of Numerators i.e. for 6433,5318 is 1
LCM of denominators i.e. for 934,715 is 667810.
Thus, GCF of Fractions is 1/667810.Finally, GCF of Fractions for 6433/934, 5318/715 is 1/667810.