Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 750/8986,304/8170
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 750,304
Greatest Common Factor of Numerators i.e. GCF of 750,304 is 2 .
LCM of Denominators means LCM of 8986,8170 as per the given fractions.
LCM of 8986,8170 is 36707810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 750,304
2 | 750, 304 |
375, 152 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 750,304 . The biggest common factor number is the GCF number.
So the greatest common factor 750,304 is 2.
Lets's calculate LCM of 8986,8170
2 | 8986, 8170 |
4493, 4085 |
∴ So the LCM of the given numbers is 2 x 4493 x 4085 = 36707810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36707810
Therefore, the GCF of Fractions 750/8986,304/8170 is 2/36707810
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 8986,8170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8986,8170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8986,8170) x common factors =2 x 1 = 2
LCM(8986,8170) = ( 8986 × 8170 ) / 2
LCM(8986,8170) = 73415620 / 2
LCM(8986,8170) = 36707810
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 750/8986, 304/8170?
Answer: GCF of Numerators as per given numbers 750/8986, 304/8170 is
GCF of Numerators i.e. for 750,304 is 2
LCM of denominators i.e. for 8986,8170 is 36707810.
Thus, GCF of Fractions is 2/36707810.Finally, GCF of Fractions for 750/8986, 304/8170 is 2/36707810.