Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 855/61,280/2925
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 855,280
Greatest Common Factor of Numerators i.e. GCF of 855,280 is 5 .
LCM of Denominators means LCM of 61,2925 as per the given fractions.
LCM of 61,2925 is 178425 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 855,280
5 | 855, 280 |
171, 56 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 855,280 . The biggest common factor number is the GCF number.
So the greatest common factor 855,280 is 5.
Lets's calculate LCM of 61,2925
Given numbers has no common factors except 1. So, there LCM is their product i.e 178425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/178425
Therefore, the GCF of Fractions 855/61,280/2925 is 5/178425
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 61,2925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,2925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,2925) x common factors =1 x 1 = 1
LCM(61,2925) = ( 61 × 2925 ) / 1
LCM(61,2925) = 178425 / 1
LCM(61,2925) = 178425
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 855/61, 280/2925?
Answer: GCF of Numerators as per given numbers 855/61, 280/2925 is
GCF of Numerators i.e. for 855,280 is 5
LCM of denominators i.e. for 61,2925 is 178425.
Thus, GCF of Fractions is 5/178425.Finally, GCF of Fractions for 855/61, 280/2925 is 5/178425.