Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 118/742,297/619,390/369
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 118,297,390
Greatest Common Factor of Numerators i.e. GCF of 118,297,390 is 1 .
LCM of Denominators means LCM of 742,619,369 as per the given fractions.
LCM of 742,619,369 is 169480962 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 118,297,390
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 118,297,390 . The biggest common factor number is the GCF number.
So the greatest common factor 118,297,390 is 1.
Lets's calculate LCM of 742,619,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 169480962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169480962
Therefore, the GCF of Fractions 118/742,297/619,390/369 is 1/169480962
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 742,619,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,619,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,619,369) x common factors =1 x 1 = 1
LCM(742,619,369) = ( 742 × 619 × 369 ) / 1
LCM(742,619,369) = 169480962 / 1
LCM(742,619,369) = 169480962
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 118/742, 297/619, 390/369?
Answer: GCF of Numerators as per given numbers 118/742, 297/619, 390/369 is
GCF of Numerators i.e. for 118,297,390 is 1
LCM of denominators i.e. for 742,619,369 is 169480962.
Thus, GCF of Fractions is 1/169480962.Finally, GCF of Fractions for 118/742, 297/619, 390/369 is 1/169480962.