Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6510/235,6165/364
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 6510,6165
Greatest Common Factor of Numerators i.e. GCF of 6510,6165 is 15 .
LCM of Denominators means LCM of 235,364 as per the given fractions.
LCM of 235,364 is 85540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6510,6165
3 | 6510, 6165 |
5 | 2170, 2055 |
434, 411 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 6510
List of positive integer factors of 6510 that divides 6510 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Factors of 6165
List of positive integer factors of 6165 that divides 6165 without a remainder.
1,3,5,9,15,45,137,411,685,1233,2055,6165
Greatest Common Factor
We found the factors 6510,6165 . The biggest common factor number is the GCF number.
So the greatest common factor 6510,6165 is 15.
Lets's calculate LCM of 235,364
Given numbers has no common factors except 1. So, there LCM is their product i.e 85540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/85540
Therefore, the GCF of Fractions 6510/235,6165/364 is 15/85540
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 235,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,364) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,364) x common factors =1 x 1 = 1
LCM(235,364) = ( 235 × 364 ) / 1
LCM(235,364) = 85540 / 1
LCM(235,364) = 85540
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 6510/235, 6165/364?
Answer: GCF of Numerators as per given numbers 6510/235, 6165/364 is
GCF of Numerators i.e. for 6510,6165 is 15
LCM of denominators i.e. for 235,364 is 85540.
Thus, GCF of Fractions is 15/85540.Finally, GCF of Fractions for 6510/235, 6165/364 is 15/85540.