Online GCD Calculator is useful to find the GCD of 536, 117, 698, 142 quickly. Get the easiest ways to solve the greatest common divisor of 536, 117, 698, 142 i.e 1 in different methods as follows.
Given Input numbers are 536, 117, 698, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (536, 117, 698, 142) = 1.
Given numbers are 536, 117, 698, 142
The list of prime factors of all numbers are
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 117 are 3 x 3 x 13
Prime factors of 698 are 2 x 349
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 536, 117, 698, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(536, 117) = 62712
GCD(536, 117) = ( 536 x 117 ) / 62712
= 536 / 117
= 536
Step2:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 536, 117, 698, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 536, 117, 698, 142
The greatest common divisor of numbers 536, 117, 698, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 117, 698, 142 is 1.
1. What is the GCD of 536, 117, 698, 142?
GCD of given numbers 536, 117, 698, 142 is 1
2. How to calculate the greatest common divisor of 536, 117, 698, 142?
We can find the highest common divisor of 536, 117, 698, 142 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 536, 117, 698, 142 i.e 1.
3. How can I use the GCD of 536, 117, 698, 142Calculator?
Out the numbers 536, 117, 698, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.