Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/14,645/31,805/173
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 55,645,805
Greatest Common Factor of Numerators i.e. GCF of 55,645,805 is 5 .
LCM of Denominators means LCM of 14,31,173 as per the given fractions.
LCM of 14,31,173 is 75082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,645,805
5 | 55, 645, 805 |
11, 129, 161 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 55,645,805 . The biggest common factor number is the GCF number.
So the greatest common factor 55,645,805 is 5.
Lets's calculate LCM of 14,31,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 75082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/75082
Therefore, the GCF of Fractions 55/14,645/31,805/173 is 5/75082
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 14,31,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,31,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,31,173) x common factors =1 x 1 = 1
LCM(14,31,173) = ( 14 × 31 × 173 ) / 1
LCM(14,31,173) = 75082 / 1
LCM(14,31,173) = 75082
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 55/14, 645/31, 805/173?
Answer: GCF of Numerators as per given numbers 55/14, 645/31, 805/173 is
GCF of Numerators i.e. for 55,645,805 is 5
LCM of denominators i.e. for 14,31,173 is 75082.
Thus, GCF of Fractions is 5/75082.Finally, GCF of Fractions for 55/14, 645/31, 805/173 is 5/75082.