Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6467/678,5855/8155
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 6467,5855
Greatest Common Factor of Numerators i.e. GCF of 6467,5855 is 1 .
LCM of Denominators means LCM of 678,8155 as per the given fractions.
LCM of 678,8155 is 5529090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6467,5855
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6467
List of positive integer factors of 6467 that divides 6467 without a remainder.
1,29,223,6467
Factors of 5855
List of positive integer factors of 5855 that divides 5855 without a remainder.
1,5,1171,5855
Greatest Common Factor
We found the factors 6467,5855 . The biggest common factor number is the GCF number.
So the greatest common factor 6467,5855 is 1.
Lets's calculate LCM of 678,8155
Given numbers has no common factors except 1. So, there LCM is their product i.e 5529090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5529090
Therefore, the GCF of Fractions 6467/678,5855/8155 is 1/5529090
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 678,8155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,8155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(678,8155) x common factors =1 x 1 = 1
LCM(678,8155) = ( 678 × 8155 ) / 1
LCM(678,8155) = 5529090 / 1
LCM(678,8155) = 5529090
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 6467/678, 5855/8155?
Answer: GCF of Numerators as per given numbers 6467/678, 5855/8155 is
GCF of Numerators i.e. for 6467,5855 is 1
LCM of denominators i.e. for 678,8155 is 5529090.
Thus, GCF of Fractions is 1/5529090.Finally, GCF of Fractions for 6467/678, 5855/8155 is 1/5529090.