Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6316/487,3272/850
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 6316,3272
Greatest Common Factor of Numerators i.e. GCF of 6316,3272 is 4 .
LCM of Denominators means LCM of 487,850 as per the given fractions.
LCM of 487,850 is 413950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6316,3272
2 | 6316, 3272 |
2 | 3158, 1636 |
1579, 818 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6316
List of positive integer factors of 6316 that divides 6316 without a remainder.
1,2,4,1579,3158,6316
Factors of 3272
List of positive integer factors of 3272 that divides 3272 without a remainder.
1,2,4,8,409,818,1636,3272
Greatest Common Factor
We found the factors 6316,3272 . The biggest common factor number is the GCF number.
So the greatest common factor 6316,3272 is 4.
Lets's calculate LCM of 487,850
Given numbers has no common factors except 1. So, there LCM is their product i.e 413950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/413950
Therefore, the GCF of Fractions 6316/487,3272/850 is 4/413950
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 487,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,850) x common factors =1 x 1 = 1
LCM(487,850) = ( 487 × 850 ) / 1
LCM(487,850) = 413950 / 1
LCM(487,850) = 413950
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 6316/487, 3272/850?
Answer: GCF of Numerators as per given numbers 6316/487, 3272/850 is
GCF of Numerators i.e. for 6316,3272 is 4
LCM of denominators i.e. for 487,850 is 413950.
Thus, GCF of Fractions is 4/413950.Finally, GCF of Fractions for 6316/487, 3272/850 is 4/413950.