Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 911/916,673/297,686/637
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 911,673,686
Greatest Common Factor of Numerators i.e. GCF of 911,673,686 is 1 .
LCM of Denominators means LCM of 916,297,637 as per the given fractions.
LCM of 916,297,637 is 173297124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 911,673,686
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 911,673,686 . The biggest common factor number is the GCF number.
So the greatest common factor 911,673,686 is 1.
Lets's calculate LCM of 916,297,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 173297124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173297124
Therefore, the GCF of Fractions 911/916,673/297,686/637 is 1/173297124
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 916,297,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,297,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(916,297,637) x common factors =1 x 1 = 1
LCM(916,297,637) = ( 916 × 297 × 637 ) / 1
LCM(916,297,637) = 173297124 / 1
LCM(916,297,637) = 173297124
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 911/916, 673/297, 686/637?
Answer: GCF of Numerators as per given numbers 911/916, 673/297, 686/637 is
GCF of Numerators i.e. for 911,673,686 is 1
LCM of denominators i.e. for 916,297,637 is 173297124.
Thus, GCF of Fractions is 1/173297124.Finally, GCF of Fractions for 911/916, 673/297, 686/637 is 1/173297124.