Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 196/706,3404/247
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 196,3404
Greatest Common Factor of Numerators i.e. GCF of 196,3404 is 4 .
LCM of Denominators means LCM of 706,247 as per the given fractions.
LCM of 706,247 is 174382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 196,3404
2 | 196, 3404 |
2 | 98, 1702 |
49, 851 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 3404
List of positive integer factors of 3404 that divides 3404 without a remainder.
1,2,4,23,37,46,74,92,148,851,1702,3404
Greatest Common Factor
We found the factors 196,3404 . The biggest common factor number is the GCF number.
So the greatest common factor 196,3404 is 4.
Lets's calculate LCM of 706,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 174382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/174382
Therefore, the GCF of Fractions 196/706,3404/247 is 4/174382
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 706,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,247) x common factors =1 x 1 = 1
LCM(706,247) = ( 706 × 247 ) / 1
LCM(706,247) = 174382 / 1
LCM(706,247) = 174382
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 196/706, 3404/247?
Answer: GCF of Numerators as per given numbers 196/706, 3404/247 is
GCF of Numerators i.e. for 196,3404 is 4
LCM of denominators i.e. for 706,247 is 174382.
Thus, GCF of Fractions is 4/174382.Finally, GCF of Fractions for 196/706, 3404/247 is 4/174382.