Online GCD Calculator is useful to find the GCD of 698, 360, 189, 862 quickly. Get the easiest ways to solve the greatest common divisor of 698, 360, 189, 862 i.e 1 in different methods as follows.
Given Input numbers are 698, 360, 189, 862
In the factoring method, we have to find the divisors of all numbers
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
GCD of numbers is the greatest common divisor
So, the GCD (698, 360, 189, 862) = 1.
Given numbers are 698, 360, 189, 862
The list of prime factors of all numbers are
Prime factors of 698 are 2 x 349
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 862 are 2 x 431
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 698, 360, 189, 862
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(698, 360) = 125640
GCD(698, 360) = ( 698 x 360 ) / 125640
= 698 / 360
= 698
Step2:
LCM(2, 189) = 378
GCD(2, 189) = ( 2 x 189 ) / 378
= 2 / 189
= 2
Step3:
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
= 1 / 862
= 1
So, Greatest Common Divisor of 698, 360, 189, 862 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 698, 360, 189, 862
The greatest common divisor of numbers 698, 360, 189, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 360, 189, 862 is 1.
1. What is the GCD of 698, 360, 189, 862?
GCD of given numbers 698, 360, 189, 862 is 1
2. How to calculate the greatest common divisor of 698, 360, 189, 862?
We can find the highest common divisor of 698, 360, 189, 862 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 698, 360, 189, 862 i.e 1.
3. How can I use the GCD of 698, 360, 189, 862Calculator?
Out the numbers 698, 360, 189, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.