Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 758/537,8472/6560
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 758,8472
Greatest Common Factor of Numerators i.e. GCF of 758,8472 is 2 .
LCM of Denominators means LCM of 537,6560 as per the given fractions.
LCM of 537,6560 is 3522720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 758,8472
2 | 758, 8472 |
379, 4236 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 8472
List of positive integer factors of 8472 that divides 8472 without a remainder.
1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472
Greatest Common Factor
We found the factors 758,8472 . The biggest common factor number is the GCF number.
So the greatest common factor 758,8472 is 2.
Lets's calculate LCM of 537,6560
Given numbers has no common factors except 1. So, there LCM is their product i.e 3522720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3522720
Therefore, the GCF of Fractions 758/537,8472/6560 is 2/3522720
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 537,6560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,6560) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,6560) x common factors =1 x 1 = 1
LCM(537,6560) = ( 537 × 6560 ) / 1
LCM(537,6560) = 3522720 / 1
LCM(537,6560) = 3522720
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 758/537, 8472/6560?
Answer: GCF of Numerators as per given numbers 758/537, 8472/6560 is
GCF of Numerators i.e. for 758,8472 is 2
LCM of denominators i.e. for 537,6560 is 3522720.
Thus, GCF of Fractions is 2/3522720.Finally, GCF of Fractions for 758/537, 8472/6560 is 2/3522720.