Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7480/385,7123/185
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 7480,7123
Greatest Common Factor of Numerators i.e. GCF of 7480,7123 is 17 .
LCM of Denominators means LCM of 385,185 as per the given fractions.
LCM of 385,185 is 14245 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7480,7123
17 | 7480, 7123 |
440, 419 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 7480
List of positive integer factors of 7480 that divides 7480 without a remainder.
1,2,4,5,8,10,11,17,20,22,34,40,44,55,68,85,88,110,136,170,187,220,340,374,440,680,748,935,1496,1870,3740,7480
Factors of 7123
List of positive integer factors of 7123 that divides 7123 without a remainder.
1,17,419,7123
Greatest Common Factor
We found the factors 7480,7123 . The biggest common factor number is the GCF number.
So the greatest common factor 7480,7123 is 17.
Lets's calculate LCM of 385,185
5 | 385, 185 |
77, 37 |
∴ So the LCM of the given numbers is 5 x 77 x 37 = 14245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/14245
Therefore, the GCF of Fractions 7480/385,7123/185 is 17/14245
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 385,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,185) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(385,185) x common factors =5 x 1 = 5
LCM(385,185) = ( 385 × 185 ) / 5
LCM(385,185) = 71225 / 5
LCM(385,185) = 14245
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 7480/385, 7123/185?
Answer: GCF of Numerators as per given numbers 7480/385, 7123/185 is
GCF of Numerators i.e. for 7480,7123 is 17
LCM of denominators i.e. for 385,185 is 14245.
Thus, GCF of Fractions is 17/14245.Finally, GCF of Fractions for 7480/385, 7123/185 is 17/14245.