Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 854/680,9513/721
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 854,9513
Greatest Common Factor of Numerators i.e. GCF of 854,9513 is 7 .
LCM of Denominators means LCM of 680,721 as per the given fractions.
LCM of 680,721 is 490280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 854,9513
7 | 854, 9513 |
122, 1359 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 9513
List of positive integer factors of 9513 that divides 9513 without a remainder.
1,3,7,9,21,63,151,453,1057,1359,3171,9513
Greatest Common Factor
We found the factors 854,9513 . The biggest common factor number is the GCF number.
So the greatest common factor 854,9513 is 7.
Lets's calculate LCM of 680,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 490280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/490280
Therefore, the GCF of Fractions 854/680,9513/721 is 7/490280
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 680,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(680,721) x common factors =1 x 1 = 1
LCM(680,721) = ( 680 × 721 ) / 1
LCM(680,721) = 490280 / 1
LCM(680,721) = 490280
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 854/680, 9513/721?
Answer: GCF of Numerators as per given numbers 854/680, 9513/721 is
GCF of Numerators i.e. for 854,9513 is 7
LCM of denominators i.e. for 680,721 is 490280.
Thus, GCF of Fractions is 7/490280.Finally, GCF of Fractions for 854/680, 9513/721 is 7/490280.