Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4424/76,4704/578
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 4424,4704
Greatest Common Factor of Numerators i.e. GCF of 4424,4704 is 56 .
LCM of Denominators means LCM of 76,578 as per the given fractions.
LCM of 76,578 is 21964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4424,4704
2 | 4424, 4704 |
2 | 2212, 2352 |
2 | 1106, 1176 |
7 | 553, 588 |
79, 84 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Factors of 4424
List of positive integer factors of 4424 that divides 4424 without a remainder.
1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424
Factors of 4704
List of positive integer factors of 4704 that divides 4704 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704
Greatest Common Factor
We found the factors 4424,4704 . The biggest common factor number is the GCF number.
So the greatest common factor 4424,4704 is 56.
Lets's calculate LCM of 76,578
2 | 76, 578 |
38, 289 |
∴ So the LCM of the given numbers is 2 x 38 x 289 = 21964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/21964
Therefore, the GCF of Fractions 4424/76,4704/578 is 56/21964
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 76,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(76,578) x common factors =2 x 1 = 2
LCM(76,578) = ( 76 × 578 ) / 2
LCM(76,578) = 43928 / 2
LCM(76,578) = 21964
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 4424/76, 4704/578?
Answer: GCF of Numerators as per given numbers 4424/76, 4704/578 is
GCF of Numerators i.e. for 4424,4704 is 56
LCM of denominators i.e. for 76,578 is 21964.
Thus, GCF of Fractions is 56/21964.Finally, GCF of Fractions for 4424/76, 4704/578 is 56/21964.