Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7814/368,5970/469
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 7814,5970
Greatest Common Factor of Numerators i.e. GCF of 7814,5970 is 2 .
LCM of Denominators means LCM of 368,469 as per the given fractions.
LCM of 368,469 is 172592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7814,5970
2 | 7814, 5970 |
3907, 2985 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7814
List of positive integer factors of 7814 that divides 7814 without a remainder.
1,2,3907,7814
Factors of 5970
List of positive integer factors of 5970 that divides 5970 without a remainder.
1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Greatest Common Factor
We found the factors 7814,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 7814,5970 is 2.
Lets's calculate LCM of 368,469
Given numbers has no common factors except 1. So, there LCM is their product i.e 172592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/172592
Therefore, the GCF of Fractions 7814/368,5970/469 is 2/172592
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 368,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,469) x common factors =1 x 1 = 1
LCM(368,469) = ( 368 × 469 ) / 1
LCM(368,469) = 172592 / 1
LCM(368,469) = 172592
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 7814/368, 5970/469?
Answer: GCF of Numerators as per given numbers 7814/368, 5970/469 is
GCF of Numerators i.e. for 7814,5970 is 2
LCM of denominators i.e. for 368,469 is 172592.
Thus, GCF of Fractions is 2/172592.Finally, GCF of Fractions for 7814/368, 5970/469 is 2/172592.