Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 370/22,242/3503
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 370,242
Greatest Common Factor of Numerators i.e. GCF of 370,242 is 2 .
LCM of Denominators means LCM of 22,3503 as per the given fractions.
LCM of 22,3503 is 77066 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 370,242
2 | 370, 242 |
185, 121 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Greatest Common Factor
We found the factors 370,242 . The biggest common factor number is the GCF number.
So the greatest common factor 370,242 is 2.
Lets's calculate LCM of 22,3503
Given numbers has no common factors except 1. So, there LCM is their product i.e 77066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77066
Therefore, the GCF of Fractions 370/22,242/3503 is 2/77066
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 22,3503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,3503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,3503) x common factors =1 x 1 = 1
LCM(22,3503) = ( 22 × 3503 ) / 1
LCM(22,3503) = 77066 / 1
LCM(22,3503) = 77066
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 370/22, 242/3503?
Answer: GCF of Numerators as per given numbers 370/22, 242/3503 is
GCF of Numerators i.e. for 370,242 is 2
LCM of denominators i.e. for 22,3503 is 77066.
Thus, GCF of Fractions is 2/77066.Finally, GCF of Fractions for 370/22, 242/3503 is 2/77066.