Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 127/565,8634/399
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 127,8634
Greatest Common Factor of Numerators i.e. GCF of 127,8634 is 1 .
LCM of Denominators means LCM of 565,399 as per the given fractions.
LCM of 565,399 is 225435 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 127,8634
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Factors of 8634
List of positive integer factors of 8634 that divides 8634 without a remainder.
1,2,3,6,1439,2878,4317,8634
Greatest Common Factor
We found the factors 127,8634 . The biggest common factor number is the GCF number.
So the greatest common factor 127,8634 is 1.
Lets's calculate LCM of 565,399
Given numbers has no common factors except 1. So, there LCM is their product i.e 225435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225435
Therefore, the GCF of Fractions 127/565,8634/399 is 1/225435
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 565,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,399) x common factors =1 x 1 = 1
LCM(565,399) = ( 565 × 399 ) / 1
LCM(565,399) = 225435 / 1
LCM(565,399) = 225435
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 127/565, 8634/399?
Answer: GCF of Numerators as per given numbers 127/565, 8634/399 is
GCF of Numerators i.e. for 127,8634 is 1
LCM of denominators i.e. for 565,399 is 225435.
Thus, GCF of Fractions is 1/225435.Finally, GCF of Fractions for 127/565, 8634/399 is 1/225435.