Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 139/34,293/61,640/159
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 139,293,640
Greatest Common Factor of Numerators i.e. GCF of 139,293,640 is 1 .
LCM of Denominators means LCM of 34,61,159 as per the given fractions.
LCM of 34,61,159 is 329766 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 139,293,640
∴ 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 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 139,293,640 . The biggest common factor number is the GCF number.
So the greatest common factor 139,293,640 is 1.
Lets's calculate LCM of 34,61,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 329766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329766
Therefore, the GCF of Fractions 139/34,293/61,640/159 is 1/329766
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 34,61,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,61,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,61,159) x common factors =1 x 1 = 1
LCM(34,61,159) = ( 34 × 61 × 159 ) / 1
LCM(34,61,159) = 329766 / 1
LCM(34,61,159) = 329766
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 139/34, 293/61, 640/159?
Answer: GCF of Numerators as per given numbers 139/34, 293/61, 640/159 is
GCF of Numerators i.e. for 139,293,640 is 1
LCM of denominators i.e. for 34,61,159 is 329766.
Thus, GCF of Fractions is 1/329766.Finally, GCF of Fractions for 139/34, 293/61, 640/159 is 1/329766.