Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/533,9576/7398
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 68,9576
Greatest Common Factor of Numerators i.e. GCF of 68,9576 is 4 .
LCM of Denominators means LCM of 533,7398 as per the given fractions.
LCM of 533,7398 is 3943134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,9576
2 | 68, 9576 |
2 | 34, 4788 |
17, 2394 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 9576
List of positive integer factors of 9576 that divides 9576 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576
Greatest Common Factor
We found the factors 68,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 68,9576 is 4.
Lets's calculate LCM of 533,7398
Given numbers has no common factors except 1. So, there LCM is their product i.e 3943134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3943134
Therefore, the GCF of Fractions 68/533,9576/7398 is 4/3943134
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 533,7398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,7398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,7398) x common factors =1 x 1 = 1
LCM(533,7398) = ( 533 × 7398 ) / 1
LCM(533,7398) = 3943134 / 1
LCM(533,7398) = 3943134
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 68/533, 9576/7398?
Answer: GCF of Numerators as per given numbers 68/533, 9576/7398 is
GCF of Numerators i.e. for 68,9576 is 4
LCM of denominators i.e. for 533,7398 is 3943134.
Thus, GCF of Fractions is 4/3943134.Finally, GCF of Fractions for 68/533, 9576/7398 is 4/3943134.