Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 967/77,4163/866
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 967,4163
Greatest Common Factor of Numerators i.e. GCF of 967,4163 is 1 .
LCM of Denominators means LCM of 77,866 as per the given fractions.
LCM of 77,866 is 66682 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 967,4163
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
Factors of 4163
List of positive integer factors of 4163 that divides 4163 without a remainder.
1,23,181,4163
Greatest Common Factor
We found the factors 967,4163 . The biggest common factor number is the GCF number.
So the greatest common factor 967,4163 is 1.
Lets's calculate LCM of 77,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 66682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66682
Therefore, the GCF of Fractions 967/77,4163/866 is 1/66682
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 77,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,866) x common factors =1 x 1 = 1
LCM(77,866) = ( 77 × 866 ) / 1
LCM(77,866) = 66682 / 1
LCM(77,866) = 66682
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 967/77, 4163/866?
Answer: GCF of Numerators as per given numbers 967/77, 4163/866 is
GCF of Numerators i.e. for 967,4163 is 1
LCM of denominators i.e. for 77,866 is 66682.
Thus, GCF of Fractions is 1/66682.Finally, GCF of Fractions for 967/77, 4163/866 is 1/66682.