Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7678/436,1486/6416
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 7678,1486
Greatest Common Factor of Numerators i.e. GCF of 7678,1486 is 2 .
LCM of Denominators means LCM of 436,6416 as per the given fractions.
LCM of 436,6416 is 699344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7678,1486
2 | 7678, 1486 |
3839, 743 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7678
List of positive integer factors of 7678 that divides 7678 without a remainder.
1,2,11,22,349,698,3839,7678
Factors of 1486
List of positive integer factors of 1486 that divides 1486 without a remainder.
1,2,743,1486
Greatest Common Factor
We found the factors 7678,1486 . The biggest common factor number is the GCF number.
So the greatest common factor 7678,1486 is 2.
Lets's calculate LCM of 436,6416
2 | 436, 6416 |
2 | 218, 3208 |
109, 1604 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 1604 = 699344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/699344
Therefore, the GCF of Fractions 7678/436,1486/6416 is 2/699344
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 436,6416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,6416) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,6416) x common factors =4 x 1 = 4
LCM(436,6416) = ( 436 × 6416 ) / 4
LCM(436,6416) = 2797376 / 4
LCM(436,6416) = 699344
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 7678/436, 1486/6416?
Answer: GCF of Numerators as per given numbers 7678/436, 1486/6416 is
GCF of Numerators i.e. for 7678,1486 is 2
LCM of denominators i.e. for 436,6416 is 699344.
Thus, GCF of Fractions is 2/699344.Finally, GCF of Fractions for 7678/436, 1486/6416 is 2/699344.