Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7327/176,3169/224
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 7327,3169
Greatest Common Factor of Numerators i.e. GCF of 7327,3169 is 1 .
LCM of Denominators means LCM of 176,224 as per the given fractions.
LCM of 176,224 is 2464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7327,3169
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7327
List of positive integer factors of 7327 that divides 7327 without a remainder.
1,17,431,7327
Factors of 3169
List of positive integer factors of 3169 that divides 3169 without a remainder.
1,3169
Greatest Common Factor
We found the factors 7327,3169 . The biggest common factor number is the GCF number.
So the greatest common factor 7327,3169 is 1.
Lets's calculate LCM of 176,224
2 | 176, 224 |
2 | 88, 112 |
2 | 44, 56 |
2 | 22, 28 |
11, 14 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 14 = 2464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2464
Therefore, the GCF of Fractions 7327/176,3169/224 is 1/2464
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 176,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,224) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(176,224) x common factors =16 x 1 = 16
LCM(176,224) = ( 176 × 224 ) / 16
LCM(176,224) = 39424 / 16
LCM(176,224) = 2464
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 7327/176, 3169/224?
Answer: GCF of Numerators as per given numbers 7327/176, 3169/224 is
GCF of Numerators i.e. for 7327,3169 is 1
LCM of denominators i.e. for 176,224 is 2464.
Thus, GCF of Fractions is 1/2464.Finally, GCF of Fractions for 7327/176, 3169/224 is 1/2464.