Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 162/87,602/19,631/428
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 162,602,631
Greatest Common Factor of Numerators i.e. GCF of 162,602,631 is 1 .
LCM of Denominators means LCM of 87,19,428 as per the given fractions.
LCM of 87,19,428 is 707484 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 162,602,631
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Greatest Common Factor
We found the factors 162,602,631 . The biggest common factor number is the GCF number.
So the greatest common factor 162,602,631 is 1.
Lets's calculate LCM of 87,19,428
Given numbers has no common factors except 1. So, there LCM is their product i.e 707484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/707484
Therefore, the GCF of Fractions 162/87,602/19,631/428 is 1/707484
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 87,19,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,19,428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,19,428) x common factors =1 x 1 = 1
LCM(87,19,428) = ( 87 × 19 × 428 ) / 1
LCM(87,19,428) = 707484 / 1
LCM(87,19,428) = 707484
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 162/87, 602/19, 631/428?
Answer: GCF of Numerators as per given numbers 162/87, 602/19, 631/428 is
GCF of Numerators i.e. for 162,602,631 is 1
LCM of denominators i.e. for 87,19,428 is 707484.
Thus, GCF of Fractions is 1/707484.Finally, GCF of Fractions for 162/87, 602/19, 631/428 is 1/707484.