Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4666/552,5752/9392
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 4666,5752
Greatest Common Factor of Numerators i.e. GCF of 4666,5752 is 2 .
LCM of Denominators means LCM of 552,9392 as per the given fractions.
LCM of 552,9392 is 648048 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4666,5752
2 | 4666, 5752 |
2333, 2876 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4666
List of positive integer factors of 4666 that divides 4666 without a remainder.
1,2,2333,4666
Factors of 5752
List of positive integer factors of 5752 that divides 5752 without a remainder.
1,2,4,8,719,1438,2876,5752
Greatest Common Factor
We found the factors 4666,5752 . The biggest common factor number is the GCF number.
So the greatest common factor 4666,5752 is 2.
Lets's calculate LCM of 552,9392
2 | 552, 9392 |
2 | 276, 4696 |
2 | 138, 2348 |
69, 1174 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 69 x 1174 = 648048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/648048
Therefore, the GCF of Fractions 4666/552,5752/9392 is 2/648048
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 552,9392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,9392) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(552,9392) x common factors =8 x 1 = 8
LCM(552,9392) = ( 552 × 9392 ) / 8
LCM(552,9392) = 5184384 / 8
LCM(552,9392) = 648048
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 4666/552, 5752/9392?
Answer: GCF of Numerators as per given numbers 4666/552, 5752/9392 is
GCF of Numerators i.e. for 4666,5752 is 2
LCM of denominators i.e. for 552,9392 is 648048.
Thus, GCF of Fractions is 2/648048.Finally, GCF of Fractions for 4666/552, 5752/9392 is 2/648048.