Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4257/455,4671/167
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 4257,4671
Greatest Common Factor of Numerators i.e. GCF of 4257,4671 is 9 .
LCM of Denominators means LCM of 455,167 as per the given fractions.
LCM of 455,167 is 75985 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4257,4671
3 | 4257, 4671 |
3 | 1419, 1557 |
473, 519 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 4257
List of positive integer factors of 4257 that divides 4257 without a remainder.
1,3,9,11,33,43,99,129,387,473,1419,4257
Factors of 4671
List of positive integer factors of 4671 that divides 4671 without a remainder.
1,3,9,27,173,519,1557,4671
Greatest Common Factor
We found the factors 4257,4671 . The biggest common factor number is the GCF number.
So the greatest common factor 4257,4671 is 9.
Lets's calculate LCM of 455,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 75985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/75985
Therefore, the GCF of Fractions 4257/455,4671/167 is 9/75985
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 455,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,167) x common factors =1 x 1 = 1
LCM(455,167) = ( 455 × 167 ) / 1
LCM(455,167) = 75985 / 1
LCM(455,167) = 75985
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 4257/455, 4671/167?
Answer: GCF of Numerators as per given numbers 4257/455, 4671/167 is
GCF of Numerators i.e. for 4257,4671 is 9
LCM of denominators i.e. for 455,167 is 75985.
Thus, GCF of Fractions is 9/75985.Finally, GCF of Fractions for 4257/455, 4671/167 is 9/75985.