Online GCD Calculator is useful to find the GCD of 702, 489, 756, 362 quickly. Get the easiest ways to solve the greatest common divisor of 702, 489, 756, 362 i.e 1 in different methods as follows.
Given Input numbers are 702, 489, 756, 362
In the factoring method, we have to find the divisors of all numbers
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 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (702, 489, 756, 362) = 1.
Given numbers are 702, 489, 756, 362
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 489 are 3 x 163
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 362 are 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 702, 489, 756, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 489) = 114426
GCD(702, 489) = ( 702 x 489 ) / 114426
= 702 / 489
= 702
Step2:
LCM(3, 756) = 756
GCD(3, 756) = ( 3 x 756 ) / 756
= 3 / 756
= 3
Step3:
LCM(3, 362) = 1086
GCD(3, 362) = ( 3 x 362 ) / 1086
= 3 / 362
= 3
So, Greatest Common Divisor of 702, 489, 756, 362 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 489, 756, 362
The greatest common divisor of numbers 702, 489, 756, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 489, 756, 362 is 1.
1. What is the GCD of 702, 489, 756, 362?
GCD of given numbers 702, 489, 756, 362 is 1
2. How to calculate the greatest common divisor of 702, 489, 756, 362?
We can find the highest common divisor of 702, 489, 756, 362 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 702, 489, 756, 362 i.e 1.
3. How can I use the GCD of 702, 489, 756, 362Calculator?
Out the numbers 702, 489, 756, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.