Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 245/51,420/158
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 245,420
Greatest Common Factor of Numerators i.e. GCF of 245,420 is 35 .
LCM of Denominators means LCM of 51,158 as per the given fractions.
LCM of 51,158 is 8058 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 245,420
5 | 245, 420 |
7 | 49, 84 |
7, 12 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 245,420 . The biggest common factor number is the GCF number.
So the greatest common factor 245,420 is 35.
Lets's calculate LCM of 51,158
Given numbers has no common factors except 1. So, there LCM is their product i.e 8058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/8058
Therefore, the GCF of Fractions 245/51,420/158 is 35/8058
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 51,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,158) x common factors =1 x 1 = 1
LCM(51,158) = ( 51 × 158 ) / 1
LCM(51,158) = 8058 / 1
LCM(51,158) = 8058
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 245/51, 420/158?
Answer: GCF of Numerators as per given numbers 245/51, 420/158 is
GCF of Numerators i.e. for 245,420 is 35
LCM of denominators i.e. for 51,158 is 8058.
Thus, GCF of Fractions is 35/8058.Finally, GCF of Fractions for 245/51, 420/158 is 35/8058.