Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 769/9481,694/7997
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 769,694
Greatest Common Factor of Numerators i.e. GCF of 769,694 is 1 .
LCM of Denominators means LCM of 9481,7997 as per the given fractions.
LCM of 9481,7997 is 75819557 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 769,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 769,694 . The biggest common factor number is the GCF number.
So the greatest common factor 769,694 is 1.
Lets's calculate LCM of 9481,7997
Given numbers has no common factors except 1. So, there LCM is their product i.e 75819557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75819557
Therefore, the GCF of Fractions 769/9481,694/7997 is 1/75819557
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 9481,7997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9481,7997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9481,7997) x common factors =1 x 1 = 1
LCM(9481,7997) = ( 9481 × 7997 ) / 1
LCM(9481,7997) = 75819557 / 1
LCM(9481,7997) = 75819557
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 769/9481, 694/7997?
Answer: GCF of Numerators as per given numbers 769/9481, 694/7997 is
GCF of Numerators i.e. for 769,694 is 1
LCM of denominators i.e. for 9481,7997 is 75819557.
Thus, GCF of Fractions is 1/75819557.Finally, GCF of Fractions for 769/9481, 694/7997 is 1/75819557.