Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 161/83,834/71,681/248
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 161,834,681
Greatest Common Factor of Numerators i.e. GCF of 161,834,681 is 1 .
LCM of Denominators means LCM of 83,71,248 as per the given fractions.
LCM of 83,71,248 is 1461464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 161,834,681
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Greatest Common Factor
We found the factors 161,834,681 . The biggest common factor number is the GCF number.
So the greatest common factor 161,834,681 is 1.
Lets's calculate LCM of 83,71,248
Given numbers has no common factors except 1. So, there LCM is their product i.e 1461464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1461464
Therefore, the GCF of Fractions 161/83,834/71,681/248 is 1/1461464
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 83,71,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,71,248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,71,248) x common factors =1 x 1 = 1
LCM(83,71,248) = ( 83 × 71 × 248 ) / 1
LCM(83,71,248) = 1461464 / 1
LCM(83,71,248) = 1461464
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 161/83, 834/71, 681/248?
Answer: GCF of Numerators as per given numbers 161/83, 834/71, 681/248 is
GCF of Numerators i.e. for 161,834,681 is 1
LCM of denominators i.e. for 83,71,248 is 1461464.
Thus, GCF of Fractions is 1/1461464.Finally, GCF of Fractions for 161/83, 834/71, 681/248 is 1/1461464.