Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/77,221/83,342/19
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 9,221,342
Greatest Common Factor of Numerators i.e. GCF of 9,221,342 is 1 .
LCM of Denominators means LCM of 77,83,19 as per the given fractions.
LCM of 77,83,19 is 121429 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,221,342
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Greatest Common Factor
We found the factors 9,221,342 . The biggest common factor number is the GCF number.
So the greatest common factor 9,221,342 is 1.
Lets's calculate LCM of 77,83,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 121429
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121429
Therefore, the GCF of Fractions 9/77,221/83,342/19 is 1/121429
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 77,83,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,83,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,83,19) x common factors =1 x 1 = 1
LCM(77,83,19) = ( 77 × 83 × 19 ) / 1
LCM(77,83,19) = 121429 / 1
LCM(77,83,19) = 121429
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 9/77, 221/83, 342/19?
Answer: GCF of Numerators as per given numbers 9/77, 221/83, 342/19 is
GCF of Numerators i.e. for 9,221,342 is 1
LCM of denominators i.e. for 77,83,19 is 121429.
Thus, GCF of Fractions is 1/121429.Finally, GCF of Fractions for 9/77, 221/83, 342/19 is 1/121429.