Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8637/125,7632/4161
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 8637,7632
Greatest Common Factor of Numerators i.e. GCF of 8637,7632 is 3 .
LCM of Denominators means LCM of 125,4161 as per the given fractions.
LCM of 125,4161 is 520125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8637,7632
3 | 8637, 7632 |
2879, 2544 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8637
List of positive integer factors of 8637 that divides 8637 without a remainder.
1,3,2879,8637
Factors of 7632
List of positive integer factors of 7632 that divides 7632 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,53,72,106,144,159,212,318,424,477,636,848,954,1272,1908,2544,3816,7632
Greatest Common Factor
We found the factors 8637,7632 . The biggest common factor number is the GCF number.
So the greatest common factor 8637,7632 is 3.
Lets's calculate LCM of 125,4161
Given numbers has no common factors except 1. So, there LCM is their product i.e 520125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/520125
Therefore, the GCF of Fractions 8637/125,7632/4161 is 3/520125
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 125,4161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,4161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,4161) x common factors =1 x 1 = 1
LCM(125,4161) = ( 125 × 4161 ) / 1
LCM(125,4161) = 520125 / 1
LCM(125,4161) = 520125
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 8637/125, 7632/4161?
Answer: GCF of Numerators as per given numbers 8637/125, 7632/4161 is
GCF of Numerators i.e. for 8637,7632 is 3
LCM of denominators i.e. for 125,4161 is 520125.
Thus, GCF of Fractions is 3/520125.Finally, GCF of Fractions for 8637/125, 7632/4161 is 3/520125.