Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 688/37,326/155
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 688,326
Greatest Common Factor of Numerators i.e. GCF of 688,326 is 2 .
LCM of Denominators means LCM of 37,155 as per the given fractions.
LCM of 37,155 is 5735 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 688,326
2 | 688, 326 |
344, 163 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 688,326 . The biggest common factor number is the GCF number.
So the greatest common factor 688,326 is 2.
Lets's calculate LCM of 37,155
Given numbers has no common factors except 1. So, there LCM is their product i.e 5735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5735
Therefore, the GCF of Fractions 688/37,326/155 is 2/5735
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 37,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,155) x common factors =1 x 1 = 1
LCM(37,155) = ( 37 × 155 ) / 1
LCM(37,155) = 5735 / 1
LCM(37,155) = 5735
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 688/37, 326/155?
Answer: GCF of Numerators as per given numbers 688/37, 326/155 is
GCF of Numerators i.e. for 688,326 is 2
LCM of denominators i.e. for 37,155 is 5735.
Thus, GCF of Fractions is 2/5735.Finally, GCF of Fractions for 688/37, 326/155 is 2/5735.