Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/41,85/14,552/765
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 20,85,552
Greatest Common Factor of Numerators i.e. GCF of 20,85,552 is 1 .
LCM of Denominators means LCM of 41,14,765 as per the given fractions.
LCM of 41,14,765 is 439110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 20,85,552
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 20,85,552 . The biggest common factor number is the GCF number.
So the greatest common factor 20,85,552 is 1.
Lets's calculate LCM of 41,14,765
Given numbers has no common factors except 1. So, there LCM is their product i.e 439110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439110
Therefore, the GCF of Fractions 20/41,85/14,552/765 is 1/439110
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 41,14,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,14,765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,14,765) x common factors =1 x 1 = 1
LCM(41,14,765) = ( 41 × 14 × 765 ) / 1
LCM(41,14,765) = 439110 / 1
LCM(41,14,765) = 439110
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 20/41, 85/14, 552/765?
Answer: GCF of Numerators as per given numbers 20/41, 85/14, 552/765 is
GCF of Numerators i.e. for 20,85,552 is 1
LCM of denominators i.e. for 41,14,765 is 439110.
Thus, GCF of Fractions is 1/439110.Finally, GCF of Fractions for 20/41, 85/14, 552/765 is 1/439110.