Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4403/24,7224/482
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 4403,7224
Greatest Common Factor of Numerators i.e. GCF of 4403,7224 is 7 .
LCM of Denominators means LCM of 24,482 as per the given fractions.
LCM of 24,482 is 5784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4403,7224
7 | 4403, 7224 |
629, 1032 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 4403
List of positive integer factors of 4403 that divides 4403 without a remainder.
1,7,17,37,119,259,629,4403
Factors of 7224
List of positive integer factors of 7224 that divides 7224 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224
Greatest Common Factor
We found the factors 4403,7224 . The biggest common factor number is the GCF number.
So the greatest common factor 4403,7224 is 7.
Lets's calculate LCM of 24,482
2 | 24, 482 |
12, 241 |
∴ So the LCM of the given numbers is 2 x 12 x 241 = 5784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5784
Therefore, the GCF of Fractions 4403/24,7224/482 is 7/5784
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 24,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(24,482) x common factors =2 x 1 = 2
LCM(24,482) = ( 24 × 482 ) / 2
LCM(24,482) = 11568 / 2
LCM(24,482) = 5784
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 4403/24, 7224/482?
Answer: GCF of Numerators as per given numbers 4403/24, 7224/482 is
GCF of Numerators i.e. for 4403,7224 is 7
LCM of denominators i.e. for 24,482 is 5784.
Thus, GCF of Fractions is 7/5784.Finally, GCF of Fractions for 4403/24, 7224/482 is 7/5784.