Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/713,776/408,102/791
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 807,776,102
Greatest Common Factor of Numerators i.e. GCF of 807,776,102 is 1 .
LCM of Denominators means LCM of 713,408,791 as per the given fractions.
LCM of 713,408,791 is 230105064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 807,776,102
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 807,776,102 . The biggest common factor number is the GCF number.
So the greatest common factor 807,776,102 is 1.
Lets's calculate LCM of 713,408,791
Given numbers has no common factors except 1. So, there LCM is their product i.e 230105064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230105064
Therefore, the GCF of Fractions 807/713,776/408,102/791 is 1/230105064
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 713,408,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,408,791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,408,791) x common factors =1 x 1 = 1
LCM(713,408,791) = ( 713 × 408 × 791 ) / 1
LCM(713,408,791) = 230105064 / 1
LCM(713,408,791) = 230105064
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 807/713, 776/408, 102/791?
Answer: GCF of Numerators as per given numbers 807/713, 776/408, 102/791 is
GCF of Numerators i.e. for 807,776,102 is 1
LCM of denominators i.e. for 713,408,791 is 230105064.
Thus, GCF of Fractions is 1/230105064.Finally, GCF of Fractions for 807/713, 776/408, 102/791 is 1/230105064.