Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 777/250,3852/170
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 777,3852
Greatest Common Factor of Numerators i.e. GCF of 777,3852 is 3 .
LCM of Denominators means LCM of 250,170 as per the given fractions.
LCM of 250,170 is 4250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 777,3852
3 | 777, 3852 |
259, 1284 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 3852
List of positive integer factors of 3852 that divides 3852 without a remainder.
1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852
Greatest Common Factor
We found the factors 777,3852 . The biggest common factor number is the GCF number.
So the greatest common factor 777,3852 is 3.
Lets's calculate LCM of 250,170
2 | 250, 170 |
5 | 125, 85 |
25, 17 |
∴ So the LCM of the given numbers is 2 x 5 x 25 x 17 = 4250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4250
Therefore, the GCF of Fractions 777/250,3852/170 is 3/4250
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 250,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,170) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(250,170) x common factors =10 x 1 = 10
LCM(250,170) = ( 250 × 170 ) / 10
LCM(250,170) = 42500 / 10
LCM(250,170) = 4250
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 777/250, 3852/170?
Answer: GCF of Numerators as per given numbers 777/250, 3852/170 is
GCF of Numerators i.e. for 777,3852 is 3
LCM of denominators i.e. for 250,170 is 4250.
Thus, GCF of Fractions is 3/4250.Finally, GCF of Fractions for 777/250, 3852/170 is 3/4250.