Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/730,49/161,144/495
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 39,49,144
Greatest Common Factor of Numerators i.e. GCF of 39,49,144 is 1 .
LCM of Denominators means LCM of 730,161,495 as per the given fractions.
LCM of 730,161,495 is 11635470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,49,144
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Greatest Common Factor
We found the factors 39,49,144 . The biggest common factor number is the GCF number.
So the greatest common factor 39,49,144 is 1.
Lets's calculate LCM of 730,161,495
5 | 730, 161, 495 |
146, 161, 99 |
∴ So the LCM of the given numbers is 5 x 146 x 161 x 99 = 11635470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11635470
Therefore, the GCF of Fractions 39/730,49/161,144/495 is 1/11635470
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 730,161,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,161,495) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(730,161,495) x common factors =1 x 5 = 5
LCM(730,161,495) = ( 730 × 161 × 495 ) / 5
LCM(730,161,495) = 58177350 / 5
LCM(730,161,495) = 11635470
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 39/730, 49/161, 144/495?
Answer: GCF of Numerators as per given numbers 39/730, 49/161, 144/495 is
GCF of Numerators i.e. for 39,49,144 is 1
LCM of denominators i.e. for 730,161,495 is 11635470.
Thus, GCF of Fractions is 1/11635470.Finally, GCF of Fractions for 39/730, 49/161, 144/495 is 1/11635470.