Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 630/347,6255/245
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 630,6255
Greatest Common Factor of Numerators i.e. GCF of 630,6255 is 45 .
LCM of Denominators means LCM of 347,245 as per the given fractions.
LCM of 347,245 is 85015 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 630,6255
3 | 630, 6255 |
3 | 210, 2085 |
5 | 70, 695 |
14, 139 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Factors of 6255
List of positive integer factors of 6255 that divides 6255 without a remainder.
1,3,5,9,15,45,139,417,695,1251,2085,6255
Greatest Common Factor
We found the factors 630,6255 . The biggest common factor number is the GCF number.
So the greatest common factor 630,6255 is 45.
Lets's calculate LCM of 347,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 85015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/85015
Therefore, the GCF of Fractions 630/347,6255/245 is 45/85015
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 347,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,245) x common factors =1 x 1 = 1
LCM(347,245) = ( 347 × 245 ) / 1
LCM(347,245) = 85015 / 1
LCM(347,245) = 85015
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 630/347, 6255/245?
Answer: GCF of Numerators as per given numbers 630/347, 6255/245 is
GCF of Numerators i.e. for 630,6255 is 45
LCM of denominators i.e. for 347,245 is 85015.
Thus, GCF of Fractions is 45/85015.Finally, GCF of Fractions for 630/347, 6255/245 is 45/85015.