Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2672/518,8313/7028
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 2672,8313
Greatest Common Factor of Numerators i.e. GCF of 2672,8313 is 1 .
LCM of Denominators means LCM of 518,7028 as per the given fractions.
LCM of 518,7028 is 260036 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2672,8313
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2672
List of positive integer factors of 2672 that divides 2672 without a remainder.
1,2,4,8,16,167,334,668,1336,2672
Factors of 8313
List of positive integer factors of 8313 that divides 8313 without a remainder.
1,3,17,51,163,489,2771,8313
Greatest Common Factor
We found the factors 2672,8313 . The biggest common factor number is the GCF number.
So the greatest common factor 2672,8313 is 1.
Lets's calculate LCM of 518,7028
2 | 518, 7028 |
7 | 259, 3514 |
37, 502 |
∴ So the LCM of the given numbers is 2 x 7 x 37 x 502 = 260036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260036
Therefore, the GCF of Fractions 2672/518,8313/7028 is 1/260036
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 518,7028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,7028) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(518,7028) x common factors =14 x 1 = 14
LCM(518,7028) = ( 518 × 7028 ) / 14
LCM(518,7028) = 3640504 / 14
LCM(518,7028) = 260036
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 2672/518, 8313/7028?
Answer: GCF of Numerators as per given numbers 2672/518, 8313/7028 is
GCF of Numerators i.e. for 2672,8313 is 1
LCM of denominators i.e. for 518,7028 is 260036.
Thus, GCF of Fractions is 1/260036.Finally, GCF of Fractions for 2672/518, 8313/7028 is 1/260036.