Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/97,80/24,349/80
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 37,80,349
Greatest Common Factor of Numerators i.e. GCF of 37,80,349 is 1 .
LCM of Denominators means LCM of 97,24,80 as per the given fractions.
LCM of 97,24,80 is 23280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 37,80,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
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 37,80,349 . The biggest common factor number is the GCF number.
So the greatest common factor 37,80,349 is 1.
Lets's calculate LCM of 97,24,80
2 | 97, 24, 80 |
2 | 97, 12, 40 |
2 | 97, 6, 20 |
97, 3, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 97 x 3 x 10 = 23280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23280
Therefore, the GCF of Fractions 37/97,80/24,349/80 is 1/23280
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 97,24,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,24,80) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(97,24,80) x common factors =1 x 8 = 8
LCM(97,24,80) = ( 97 × 24 × 80 ) / 8
LCM(97,24,80) = 186240 / 8
LCM(97,24,80) = 23280
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 37/97, 80/24, 349/80?
Answer: GCF of Numerators as per given numbers 37/97, 80/24, 349/80 is
GCF of Numerators i.e. for 37,80,349 is 1
LCM of denominators i.e. for 97,24,80 is 23280.
Thus, GCF of Fractions is 1/23280.Finally, GCF of Fractions for 37/97, 80/24, 349/80 is 1/23280.