Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/755,6636/3378
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 455,6636
Greatest Common Factor of Numerators i.e. GCF of 455,6636 is 7 .
LCM of Denominators means LCM of 755,3378 as per the given fractions.
LCM of 755,3378 is 2550390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 455,6636
7 | 455, 6636 |
65, 948 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 6636
List of positive integer factors of 6636 that divides 6636 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,79,84,158,237,316,474,553,948,1106,1659,2212,3318,6636
Greatest Common Factor
We found the factors 455,6636 . The biggest common factor number is the GCF number.
So the greatest common factor 455,6636 is 7.
Lets's calculate LCM of 755,3378
Given numbers has no common factors except 1. So, there LCM is their product i.e 2550390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2550390
Therefore, the GCF of Fractions 455/755,6636/3378 is 7/2550390
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 755,3378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,3378) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,3378) x common factors =1 x 1 = 1
LCM(755,3378) = ( 755 × 3378 ) / 1
LCM(755,3378) = 2550390 / 1
LCM(755,3378) = 2550390
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 455/755, 6636/3378?
Answer: GCF of Numerators as per given numbers 455/755, 6636/3378 is
GCF of Numerators i.e. for 455,6636 is 7
LCM of denominators i.e. for 755,3378 is 2550390.
Thus, GCF of Fractions is 7/2550390.Finally, GCF of Fractions for 455/755, 6636/3378 is 7/2550390.