Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 172/380,4257/6921
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 172,4257
Greatest Common Factor of Numerators i.e. GCF of 172,4257 is 43 .
LCM of Denominators means LCM of 380,6921 as per the given fractions.
LCM of 380,6921 is 2629980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 172,4257
43 | 172, 4257 |
4, 99 |
∴ So the GCF of the given numbers is 43 = 43
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
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
Greatest Common Factor
We found the factors 172,4257 . The biggest common factor number is the GCF number.
So the greatest common factor 172,4257 is 43.
Lets's calculate LCM of 380,6921
Given numbers has no common factors except 1. So, there LCM is their product i.e 2629980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/2629980
Therefore, the GCF of Fractions 172/380,4257/6921 is 43/2629980
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 380,6921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,6921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(380,6921) x common factors =1 x 1 = 1
LCM(380,6921) = ( 380 × 6921 ) / 1
LCM(380,6921) = 2629980 / 1
LCM(380,6921) = 2629980
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 172/380, 4257/6921?
Answer: GCF of Numerators as per given numbers 172/380, 4257/6921 is
GCF of Numerators i.e. for 172,4257 is 43
LCM of denominators i.e. for 380,6921 is 2629980.
Thus, GCF of Fractions is 43/2629980.Finally, GCF of Fractions for 172/380, 4257/6921 is 43/2629980.