Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/456,4734/5272
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 69,4734
Greatest Common Factor of Numerators i.e. GCF of 69,4734 is 3 .
LCM of Denominators means LCM of 456,5272 as per the given fractions.
LCM of 456,5272 is 300504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,4734
3 | 69, 4734 |
23, 1578 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 4734
List of positive integer factors of 4734 that divides 4734 without a remainder.
1,2,3,6,9,18,263,526,789,1578,2367,4734
Greatest Common Factor
We found the factors 69,4734 . The biggest common factor number is the GCF number.
So the greatest common factor 69,4734 is 3.
Lets's calculate LCM of 456,5272
2 | 456, 5272 |
2 | 228, 2636 |
2 | 114, 1318 |
57, 659 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 57 x 659 = 300504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/300504
Therefore, the GCF of Fractions 69/456,4734/5272 is 3/300504
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 456,5272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,5272) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(456,5272) x common factors =8 x 1 = 8
LCM(456,5272) = ( 456 × 5272 ) / 8
LCM(456,5272) = 2404032 / 8
LCM(456,5272) = 300504
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 69/456, 4734/5272?
Answer: GCF of Numerators as per given numbers 69/456, 4734/5272 is
GCF of Numerators i.e. for 69,4734 is 3
LCM of denominators i.e. for 456,5272 is 300504.
Thus, GCF of Fractions is 3/300504.Finally, GCF of Fractions for 69/456, 4734/5272 is 3/300504.