Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 749/93,489/96,349/137
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 749,489,349
Greatest Common Factor of Numerators i.e. GCF of 749,489,349 is 1 .
LCM of Denominators means LCM of 93,96,137 as per the given fractions.
LCM of 93,96,137 is 407712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 749,489,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 749,489,349 . The biggest common factor number is the GCF number.
So the greatest common factor 749,489,349 is 1.
Lets's calculate LCM of 93,96,137
3 | 93, 96, 137 |
31, 32, 137 |
∴ So the LCM of the given numbers is 3 x 31 x 32 x 137 = 407712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407712
Therefore, the GCF of Fractions 749/93,489/96,349/137 is 1/407712
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 93,96,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,96,137) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,96,137) x common factors =1 x 3 = 3
LCM(93,96,137) = ( 93 × 96 × 137 ) / 3
LCM(93,96,137) = 1223136 / 3
LCM(93,96,137) = 407712
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 749/93, 489/96, 349/137?
Answer: GCF of Numerators as per given numbers 749/93, 489/96, 349/137 is
GCF of Numerators i.e. for 749,489,349 is 1
LCM of denominators i.e. for 93,96,137 is 407712.
Thus, GCF of Fractions is 1/407712.Finally, GCF of Fractions for 749/93, 489/96, 349/137 is 1/407712.