Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 315/14,385/364
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 315,385
Greatest Common Factor of Numerators i.e. GCF of 315,385 is 35 .
LCM of Denominators means LCM of 14,364 as per the given fractions.
LCM of 14,364 is 364 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 315,385
5 | 315, 385 |
7 | 63, 77 |
9, 11 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 315,385 . The biggest common factor number is the GCF number.
So the greatest common factor 315,385 is 35.
Lets's calculate LCM of 14,364
2 | 14, 364 |
7 | 7, 182 |
1, 26 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 26 = 364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/364
Therefore, the GCF of Fractions 315/14,385/364 is 35/364
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 14,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,364) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(14,364) x common factors =14 x 1 = 14
LCM(14,364) = ( 14 × 364 ) / 14
LCM(14,364) = 5096 / 14
LCM(14,364) = 364
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 315/14, 385/364?
Answer: GCF of Numerators as per given numbers 315/14, 385/364 is
GCF of Numerators i.e. for 315,385 is 35
LCM of denominators i.e. for 14,364 is 364.
Thus, GCF of Fractions is 35/364.Finally, GCF of Fractions for 315/14, 385/364 is 35/364.