Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 139/89,480/87,187/734
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 139,480,187
Greatest Common Factor of Numerators i.e. GCF of 139,480,187 is 1 .
LCM of Denominators means LCM of 89,87,734 as per the given fractions.
LCM of 89,87,734 is 5683362 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 139,480,187
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Greatest Common Factor
We found the factors 139,480,187 . The biggest common factor number is the GCF number.
So the greatest common factor 139,480,187 is 1.
Lets's calculate LCM of 89,87,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 5683362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5683362
Therefore, the GCF of Fractions 139/89,480/87,187/734 is 1/5683362
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 89,87,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,87,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,87,734) x common factors =1 x 1 = 1
LCM(89,87,734) = ( 89 × 87 × 734 ) / 1
LCM(89,87,734) = 5683362 / 1
LCM(89,87,734) = 5683362
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 139/89, 480/87, 187/734?
Answer: GCF of Numerators as per given numbers 139/89, 480/87, 187/734 is
GCF of Numerators i.e. for 139,480,187 is 1
LCM of denominators i.e. for 89,87,734 is 5683362.
Thus, GCF of Fractions is 1/5683362.Finally, GCF of Fractions for 139/89, 480/87, 187/734 is 1/5683362.