Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 728/329,1677/680
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 728,1677
Greatest Common Factor of Numerators i.e. GCF of 728,1677 is 13 .
LCM of Denominators means LCM of 329,680 as per the given fractions.
LCM of 329,680 is 223720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 728,1677
13 | 728, 1677 |
56, 129 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Factors of 1677
List of positive integer factors of 1677 that divides 1677 without a remainder.
1,3,13,39,43,129,559,1677
Greatest Common Factor
We found the factors 728,1677 . The biggest common factor number is the GCF number.
So the greatest common factor 728,1677 is 13.
Lets's calculate LCM of 329,680
Given numbers has no common factors except 1. So, there LCM is their product i.e 223720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/223720
Therefore, the GCF of Fractions 728/329,1677/680 is 13/223720
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 329,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,680) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,680) x common factors =1 x 1 = 1
LCM(329,680) = ( 329 × 680 ) / 1
LCM(329,680) = 223720 / 1
LCM(329,680) = 223720
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 728/329, 1677/680?
Answer: GCF of Numerators as per given numbers 728/329, 1677/680 is
GCF of Numerators i.e. for 728,1677 is 13
LCM of denominators i.e. for 329,680 is 223720.
Thus, GCF of Fractions is 13/223720.Finally, GCF of Fractions for 728/329, 1677/680 is 13/223720.