Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 236/67,761/1093
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 236,761
Greatest Common Factor of Numerators i.e. GCF of 236,761 is 1 .
LCM of Denominators means LCM of 67,1093 as per the given fractions.
LCM of 67,1093 is 73231 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 236,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Greatest Common Factor
We found the factors 236,761 . The biggest common factor number is the GCF number.
So the greatest common factor 236,761 is 1.
Lets's calculate LCM of 67,1093
Given numbers has no common factors except 1. So, there LCM is their product i.e 73231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73231
Therefore, the GCF of Fractions 236/67,761/1093 is 1/73231
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 67,1093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,1093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,1093) x common factors =1 x 1 = 1
LCM(67,1093) = ( 67 × 1093 ) / 1
LCM(67,1093) = 73231 / 1
LCM(67,1093) = 73231
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 236/67, 761/1093?
Answer: GCF of Numerators as per given numbers 236/67, 761/1093 is
GCF of Numerators i.e. for 236,761 is 1
LCM of denominators i.e. for 67,1093 is 73231.
Thus, GCF of Fractions is 1/73231.Finally, GCF of Fractions for 236/67, 761/1093 is 1/73231.