Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 943/677,334/136
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 943,334
Greatest Common Factor of Numerators i.e. GCF of 943,334 is 1 .
LCM of Denominators means LCM of 677,136 as per the given fractions.
LCM of 677,136 is 92072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 943,334
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 943,334 . The biggest common factor number is the GCF number.
So the greatest common factor 943,334 is 1.
Lets's calculate LCM of 677,136
Given numbers has no common factors except 1. So, there LCM is their product i.e 92072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92072
Therefore, the GCF of Fractions 943/677,334/136 is 1/92072
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 677,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,136) x common factors =1 x 1 = 1
LCM(677,136) = ( 677 × 136 ) / 1
LCM(677,136) = 92072 / 1
LCM(677,136) = 92072
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 943/677, 334/136?
Answer: GCF of Numerators as per given numbers 943/677, 334/136 is
GCF of Numerators i.e. for 943,334 is 1
LCM of denominators i.e. for 677,136 is 92072.
Thus, GCF of Fractions is 1/92072.Finally, GCF of Fractions for 943/677, 334/136 is 1/92072.