Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 163/52,420/29,629/547
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 163,420,629
Greatest Common Factor of Numerators i.e. GCF of 163,420,629 is 1 .
LCM of Denominators means LCM of 52,29,547 as per the given fractions.
LCM of 52,29,547 is 824876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 163,420,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 163,420,629 . The biggest common factor number is the GCF number.
So the greatest common factor 163,420,629 is 1.
Lets's calculate LCM of 52,29,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 824876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/824876
Therefore, the GCF of Fractions 163/52,420/29,629/547 is 1/824876
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 52,29,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,29,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,29,547) x common factors =1 x 1 = 1
LCM(52,29,547) = ( 52 × 29 × 547 ) / 1
LCM(52,29,547) = 824876 / 1
LCM(52,29,547) = 824876
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 163/52, 420/29, 629/547?
Answer: GCF of Numerators as per given numbers 163/52, 420/29, 629/547 is
GCF of Numerators i.e. for 163,420,629 is 1
LCM of denominators i.e. for 52,29,547 is 824876.
Thus, GCF of Fractions is 1/824876.Finally, GCF of Fractions for 163/52, 420/29, 629/547 is 1/824876.