Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4109/496,6390/232
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 4109,6390
Greatest Common Factor of Numerators i.e. GCF of 4109,6390 is 1 .
LCM of Denominators means LCM of 496,232 as per the given fractions.
LCM of 496,232 is 14384 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4109,6390
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4109
List of positive integer factors of 4109 that divides 4109 without a remainder.
1,7,587,4109
Factors of 6390
List of positive integer factors of 6390 that divides 6390 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390
Greatest Common Factor
We found the factors 4109,6390 . The biggest common factor number is the GCF number.
So the greatest common factor 4109,6390 is 1.
Lets's calculate LCM of 496,232
2 | 496, 232 |
2 | 248, 116 |
2 | 124, 58 |
62, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 62 x 29 = 14384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14384
Therefore, the GCF of Fractions 4109/496,6390/232 is 1/14384
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 496,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,232) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(496,232) x common factors =8 x 1 = 8
LCM(496,232) = ( 496 × 232 ) / 8
LCM(496,232) = 115072 / 8
LCM(496,232) = 14384
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 4109/496, 6390/232?
Answer: GCF of Numerators as per given numbers 4109/496, 6390/232 is
GCF of Numerators i.e. for 4109,6390 is 1
LCM of denominators i.e. for 496,232 is 14384.
Thus, GCF of Fractions is 1/14384.Finally, GCF of Fractions for 4109/496, 6390/232 is 1/14384.