Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 426/475,6852/118
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 426,6852
Greatest Common Factor of Numerators i.e. GCF of 426,6852 is 6 .
LCM of Denominators means LCM of 475,118 as per the given fractions.
LCM of 475,118 is 56050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 426,6852
2 | 426, 6852 |
3 | 213, 3426 |
71, 1142 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 6852
List of positive integer factors of 6852 that divides 6852 without a remainder.
1,2,3,4,6,12,571,1142,1713,2284,3426,6852
Greatest Common Factor
We found the factors 426,6852 . The biggest common factor number is the GCF number.
So the greatest common factor 426,6852 is 6.
Lets's calculate LCM of 475,118
Given numbers has no common factors except 1. So, there LCM is their product i.e 56050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/56050
Therefore, the GCF of Fractions 426/475,6852/118 is 6/56050
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 475,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,118) x common factors =1 x 1 = 1
LCM(475,118) = ( 475 × 118 ) / 1
LCM(475,118) = 56050 / 1
LCM(475,118) = 56050
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 426/475, 6852/118?
Answer: GCF of Numerators as per given numbers 426/475, 6852/118 is
GCF of Numerators i.e. for 426,6852 is 6
LCM of denominators i.e. for 475,118 is 56050.
Thus, GCF of Fractions is 6/56050.Finally, GCF of Fractions for 426/475, 6852/118 is 6/56050.