Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8288/179,5425/3137
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 8288,5425
Greatest Common Factor of Numerators i.e. GCF of 8288,5425 is 7 .
LCM of Denominators means LCM of 179,3137 as per the given fractions.
LCM of 179,3137 is 561523 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8288,5425
7 | 8288, 5425 |
1184, 775 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 8288
List of positive integer factors of 8288 that divides 8288 without a remainder.
1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288
Factors of 5425
List of positive integer factors of 5425 that divides 5425 without a remainder.
1,5,7,25,31,35,155,175,217,775,1085,5425
Greatest Common Factor
We found the factors 8288,5425 . The biggest common factor number is the GCF number.
So the greatest common factor 8288,5425 is 7.
Lets's calculate LCM of 179,3137
Given numbers has no common factors except 1. So, there LCM is their product i.e 561523
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/561523
Therefore, the GCF of Fractions 8288/179,5425/3137 is 7/561523
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 179,3137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,3137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,3137) x common factors =1 x 1 = 1
LCM(179,3137) = ( 179 × 3137 ) / 1
LCM(179,3137) = 561523 / 1
LCM(179,3137) = 561523
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 8288/179, 5425/3137?
Answer: GCF of Numerators as per given numbers 8288/179, 5425/3137 is
GCF of Numerators i.e. for 8288,5425 is 7
LCM of denominators i.e. for 179,3137 is 561523.
Thus, GCF of Fractions is 7/561523.Finally, GCF of Fractions for 8288/179, 5425/3137 is 7/561523.