Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1115/836,7027/8027
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 1115,7027
Greatest Common Factor of Numerators i.e. GCF of 1115,7027 is 1 .
LCM of Denominators means LCM of 836,8027 as per the given fractions.
LCM of 836,8027 is 6710572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1115,7027
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1115
List of positive integer factors of 1115 that divides 1115 without a remainder.
1,5,223,1115
Factors of 7027
List of positive integer factors of 7027 that divides 7027 without a remainder.
1,7027
Greatest Common Factor
We found the factors 1115,7027 . The biggest common factor number is the GCF number.
So the greatest common factor 1115,7027 is 1.
Lets's calculate LCM of 836,8027
Given numbers has no common factors except 1. So, there LCM is their product i.e 6710572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6710572
Therefore, the GCF of Fractions 1115/836,7027/8027 is 1/6710572
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 836,8027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,8027) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(836,8027) x common factors =1 x 1 = 1
LCM(836,8027) = ( 836 × 8027 ) / 1
LCM(836,8027) = 6710572 / 1
LCM(836,8027) = 6710572
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 1115/836, 7027/8027?
Answer: GCF of Numerators as per given numbers 1115/836, 7027/8027 is
GCF of Numerators i.e. for 1115,7027 is 1
LCM of denominators i.e. for 836,8027 is 6710572.
Thus, GCF of Fractions is 1/6710572.Finally, GCF of Fractions for 1115/836, 7027/8027 is 1/6710572.