Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 495/19,222/5671
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 495,222
Greatest Common Factor of Numerators i.e. GCF of 495,222 is 3 .
LCM of Denominators means LCM of 19,5671 as per the given fractions.
LCM of 19,5671 is 107749 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 495,222
3 | 495, 222 |
165, 74 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 495,222 . The biggest common factor number is the GCF number.
So the greatest common factor 495,222 is 3.
Lets's calculate LCM of 19,5671
Given numbers has no common factors except 1. So, there LCM is their product i.e 107749
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/107749
Therefore, the GCF of Fractions 495/19,222/5671 is 3/107749
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 19,5671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,5671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,5671) x common factors =1 x 1 = 1
LCM(19,5671) = ( 19 × 5671 ) / 1
LCM(19,5671) = 107749 / 1
LCM(19,5671) = 107749
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 495/19, 222/5671?
Answer: GCF of Numerators as per given numbers 495/19, 222/5671 is
GCF of Numerators i.e. for 495,222 is 3
LCM of denominators i.e. for 19,5671 is 107749.
Thus, GCF of Fractions is 3/107749.Finally, GCF of Fractions for 495/19, 222/5671 is 3/107749.