Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/554,9622/6423
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 110,9622
Greatest Common Factor of Numerators i.e. GCF of 110,9622 is 2 .
LCM of Denominators means LCM of 554,6423 as per the given fractions.
LCM of 554,6423 is 3558342 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,9622
2 | 110, 9622 |
55, 4811 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 9622
List of positive integer factors of 9622 that divides 9622 without a remainder.
1,2,17,34,283,566,4811,9622
Greatest Common Factor
We found the factors 110,9622 . The biggest common factor number is the GCF number.
So the greatest common factor 110,9622 is 2.
Lets's calculate LCM of 554,6423
Given numbers has no common factors except 1. So, there LCM is their product i.e 3558342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3558342
Therefore, the GCF of Fractions 110/554,9622/6423 is 2/3558342
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 554,6423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,6423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(554,6423) x common factors =1 x 1 = 1
LCM(554,6423) = ( 554 × 6423 ) / 1
LCM(554,6423) = 3558342 / 1
LCM(554,6423) = 3558342
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 110/554, 9622/6423?
Answer: GCF of Numerators as per given numbers 110/554, 9622/6423 is
GCF of Numerators i.e. for 110,9622 is 2
LCM of denominators i.e. for 554,6423 is 3558342.
Thus, GCF of Fractions is 2/3558342.Finally, GCF of Fractions for 110/554, 9622/6423 is 2/3558342.