Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/47,17/86,749/141
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 80,17,749
Greatest Common Factor of Numerators i.e. GCF of 80,17,749 is 1 .
LCM of Denominators means LCM of 47,86,141 as per the given fractions.
LCM of 47,86,141 is 12126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,17,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Greatest Common Factor
We found the factors 80,17,749 . The biggest common factor number is the GCF number.
So the greatest common factor 80,17,749 is 1.
Lets's calculate LCM of 47,86,141
47 | 47, 86, 141 |
1, 86, 3 |
∴ So the LCM of the given numbers is 47 x 1 x 86 x 3 = 12126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12126
Therefore, the GCF of Fractions 80/47,17/86,749/141 is 1/12126
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 47,86,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,86,141) = 1
common factors(in case of two or more numbers have common factors) = 47
GCF(47,86,141) x common factors =1 x 47 = 47
LCM(47,86,141) = ( 47 × 86 × 141 ) / 47
LCM(47,86,141) = 569922 / 47
LCM(47,86,141) = 12126
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 80/47, 17/86, 749/141?
Answer: GCF of Numerators as per given numbers 80/47, 17/86, 749/141 is
GCF of Numerators i.e. for 80,17,749 is 1
LCM of denominators i.e. for 47,86,141 is 12126.
Thus, GCF of Fractions is 1/12126.Finally, GCF of Fractions for 80/47, 17/86, 749/141 is 1/12126.