Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7268/670,7462/517
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 7268,7462
Greatest Common Factor of Numerators i.e. GCF of 7268,7462 is 2 .
LCM of Denominators means LCM of 670,517 as per the given fractions.
LCM of 670,517 is 346390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7268,7462
2 | 7268, 7462 |
3634, 3731 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7268
List of positive integer factors of 7268 that divides 7268 without a remainder.
1,2,4,23,46,79,92,158,316,1817,3634,7268
Factors of 7462
List of positive integer factors of 7462 that divides 7462 without a remainder.
1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462
Greatest Common Factor
We found the factors 7268,7462 . The biggest common factor number is the GCF number.
So the greatest common factor 7268,7462 is 2.
Lets's calculate LCM of 670,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 346390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/346390
Therefore, the GCF of Fractions 7268/670,7462/517 is 2/346390
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 670,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(670,517) x common factors =1 x 1 = 1
LCM(670,517) = ( 670 × 517 ) / 1
LCM(670,517) = 346390 / 1
LCM(670,517) = 346390
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 7268/670, 7462/517?
Answer: GCF of Numerators as per given numbers 7268/670, 7462/517 is
GCF of Numerators i.e. for 7268,7462 is 2
LCM of denominators i.e. for 670,517 is 346390.
Thus, GCF of Fractions is 2/346390.Finally, GCF of Fractions for 7268/670, 7462/517 is 2/346390.