Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/797,80/207,877/431
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 66,80,877
Greatest Common Factor of Numerators i.e. GCF of 66,80,877 is 1 .
LCM of Denominators means LCM of 797,207,431 as per the given fractions.
LCM of 797,207,431 is 71105949 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 66,80,877
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Greatest Common Factor
We found the factors 66,80,877 . The biggest common factor number is the GCF number.
So the greatest common factor 66,80,877 is 1.
Lets's calculate LCM of 797,207,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 71105949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71105949
Therefore, the GCF of Fractions 66/797,80/207,877/431 is 1/71105949
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 797,207,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,207,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,207,431) x common factors =1 x 1 = 1
LCM(797,207,431) = ( 797 × 207 × 431 ) / 1
LCM(797,207,431) = 71105949 / 1
LCM(797,207,431) = 71105949
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 66/797, 80/207, 877/431?
Answer: GCF of Numerators as per given numbers 66/797, 80/207, 877/431 is
GCF of Numerators i.e. for 66,80,877 is 1
LCM of denominators i.e. for 797,207,431 is 71105949.
Thus, GCF of Fractions is 1/71105949.Finally, GCF of Fractions for 66/797, 80/207, 877/431 is 1/71105949.