Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/89,46/29,74/428,331/349
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 8,46,74,331
Greatest Common Factor of Numerators i.e. GCF of 8,46,74,331 is 1 .
LCM of Denominators means LCM of 89,29,428,349 as per the given fractions.
LCM of 89,29,428,349 is 385529132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,46,74,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Greatest Common Factor
We found the factors 8,46,74,331 . The biggest common factor number is the GCF number.
So the greatest common factor 8,46,74,331 is 1.
Lets's calculate LCM of 89,29,428,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 385529132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385529132
Therefore, the GCF of Fractions 8/89,46/29,74/428,331/349 is 1/385529132
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 89,29,428,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,29,428,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,29,428,349) x common factors =1 x 1 = 1
LCM(89,29,428,349) = ( 89 × 29 × 428 × 349 ) / 1
LCM(89,29,428,349) = 385529132 / 1
LCM(89,29,428,349) = 385529132
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 8/89, 46/29, 74/428, 331/349?
Answer: GCF of Numerators as per given numbers 8/89, 46/29, 74/428, 331/349 is
GCF of Numerators i.e. for 8,46,74,331 is 1
LCM of denominators i.e. for 89,29,428,349 is 385529132.
Thus, GCF of Fractions is 1/385529132.Finally, GCF of Fractions for 8/89, 46/29, 74/428, 331/349 is 1/385529132.