Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5574/556,4624/8404
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 5574,4624
Greatest Common Factor of Numerators i.e. GCF of 5574,4624 is 2 .
LCM of Denominators means LCM of 556,8404 as per the given fractions.
LCM of 556,8404 is 1168156 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5574,4624
2 | 5574, 4624 |
2787, 2312 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5574
List of positive integer factors of 5574 that divides 5574 without a remainder.
1,2,3,6,929,1858,2787,5574
Factors of 4624
List of positive integer factors of 4624 that divides 4624 without a remainder.
1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624
Greatest Common Factor
We found the factors 5574,4624 . The biggest common factor number is the GCF number.
So the greatest common factor 5574,4624 is 2.
Lets's calculate LCM of 556,8404
2 | 556, 8404 |
2 | 278, 4202 |
139, 2101 |
∴ So the LCM of the given numbers is 2 x 2 x 139 x 2101 = 1168156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1168156
Therefore, the GCF of Fractions 5574/556,4624/8404 is 2/1168156
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 556,8404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,8404) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(556,8404) x common factors =4 x 1 = 4
LCM(556,8404) = ( 556 × 8404 ) / 4
LCM(556,8404) = 4672624 / 4
LCM(556,8404) = 1168156
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 5574/556, 4624/8404?
Answer: GCF of Numerators as per given numbers 5574/556, 4624/8404 is
GCF of Numerators i.e. for 5574,4624 is 2
LCM of denominators i.e. for 556,8404 is 1168156.
Thus, GCF of Fractions is 2/1168156.Finally, GCF of Fractions for 5574/556, 4624/8404 is 2/1168156.