Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/539,462/624,495/367
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 88,462,495
Greatest Common Factor of Numerators i.e. GCF of 88,462,495 is 11 .
LCM of Denominators means LCM of 539,624,367 as per the given fractions.
LCM of 539,624,367 is 123435312 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,462,495
11 | 88, 462, 495 |
8, 42, 45 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
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
Greatest Common Factor
We found the factors 88,462,495 . The biggest common factor number is the GCF number.
So the greatest common factor 88,462,495 is 11.
Lets's calculate LCM of 539,624,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 123435312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/123435312
Therefore, the GCF of Fractions 88/539,462/624,495/367 is 11/123435312
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 539,624,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,624,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,624,367) x common factors =1 x 1 = 1
LCM(539,624,367) = ( 539 × 624 × 367 ) / 1
LCM(539,624,367) = 123435312 / 1
LCM(539,624,367) = 123435312
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 88/539, 462/624, 495/367?
Answer: GCF of Numerators as per given numbers 88/539, 462/624, 495/367 is
GCF of Numerators i.e. for 88,462,495 is 11
LCM of denominators i.e. for 539,624,367 is 123435312.
Thus, GCF of Fractions is 11/123435312.Finally, GCF of Fractions for 88/539, 462/624, 495/367 is 11/123435312.