Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 565/919,9694/6526
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 565,9694
Greatest Common Factor of Numerators i.e. GCF of 565,9694 is 1 .
LCM of Denominators means LCM of 919,6526 as per the given fractions.
LCM of 919,6526 is 5997394 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 565,9694
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 9694
List of positive integer factors of 9694 that divides 9694 without a remainder.
1,2,37,74,131,262,4847,9694
Greatest Common Factor
We found the factors 565,9694 . The biggest common factor number is the GCF number.
So the greatest common factor 565,9694 is 1.
Lets's calculate LCM of 919,6526
Given numbers has no common factors except 1. So, there LCM is their product i.e 5997394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5997394
Therefore, the GCF of Fractions 565/919,9694/6526 is 1/5997394
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 919,6526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,6526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,6526) x common factors =1 x 1 = 1
LCM(919,6526) = ( 919 × 6526 ) / 1
LCM(919,6526) = 5997394 / 1
LCM(919,6526) = 5997394
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 565/919, 9694/6526?
Answer: GCF of Numerators as per given numbers 565/919, 9694/6526 is
GCF of Numerators i.e. for 565,9694 is 1
LCM of denominators i.e. for 919,6526 is 5997394.
Thus, GCF of Fractions is 1/5997394.Finally, GCF of Fractions for 565/919, 9694/6526 is 1/5997394.