Online GCD Calculator is useful to find the GCD of 150, 182, 702, 830 quickly. Get the easiest ways to solve the greatest common divisor of 150, 182, 702, 830 i.e 2 in different methods as follows.
Given Input numbers are 150, 182, 702, 830
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
GCD of numbers is the greatest common divisor
So, the GCD (150, 182, 702, 830) = 2.
Given numbers are 150, 182, 702, 830
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 182 are 2 x 7 x 13
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 830 are 2 x 5 x 83
The highest common occurrence is 21
Therefore, GCD of 150, 182, 702, 830 is 2.
Given numbers are 150, 182, 702, 830
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 182) = 13650
GCD(150, 182) = ( 150 x 182 ) / 13650
= 150 / 182
= 150
Step2:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
Step3:
LCM(2, 830) = 830
GCD(2, 830) = ( 2 x 830 ) / 830
= 2 / 830
= 2
So, Greatest Common Divisor of 150, 182, 702, 830 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 182, 702, 830
The greatest common divisor of numbers 150, 182, 702, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 182, 702, 830 is 2.
1. What is the GCD of 150, 182, 702, 830?
GCD of given numbers 150, 182, 702, 830 is 2
2. How to calculate the greatest common divisor of 150, 182, 702, 830?
We can find the highest common divisor of 150, 182, 702, 830 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 150, 182, 702, 830 i.e 2.
3. How can I use the GCD of 150, 182, 702, 830Calculator?
Out the numbers 150, 182, 702, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.