Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2287/80,6534/967
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 2287,6534
Greatest Common Factor of Numerators i.e. GCF of 2287,6534 is 1 .
LCM of Denominators means LCM of 80,967 as per the given fractions.
LCM of 80,967 is 77360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2287,6534
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2287
List of positive integer factors of 2287 that divides 2287 without a remainder.
1,2287
Factors of 6534
List of positive integer factors of 6534 that divides 6534 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,121,198,242,297,363,594,726,1089,2178,3267,6534
Greatest Common Factor
We found the factors 2287,6534 . The biggest common factor number is the GCF number.
So the greatest common factor 2287,6534 is 1.
Lets's calculate LCM of 80,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 77360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77360
Therefore, the GCF of Fractions 2287/80,6534/967 is 1/77360
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 80,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,967) x common factors =1 x 1 = 1
LCM(80,967) = ( 80 × 967 ) / 1
LCM(80,967) = 77360 / 1
LCM(80,967) = 77360
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 2287/80, 6534/967?
Answer: GCF of Numerators as per given numbers 2287/80, 6534/967 is
GCF of Numerators i.e. for 2287,6534 is 1
LCM of denominators i.e. for 80,967 is 77360.
Thus, GCF of Fractions is 1/77360.Finally, GCF of Fractions for 2287/80, 6534/967 is 1/77360.