Online GCD Calculator is useful to find the GCD of 132, 514, 153, 698 quickly. Get the easiest ways to solve the greatest common divisor of 132, 514, 153, 698 i.e 1 in different methods as follows.
Given Input numbers are 132, 514, 153, 698
In the factoring method, we have to find the divisors of all numbers
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (132, 514, 153, 698) = 1.
Given numbers are 132, 514, 153, 698
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 514 are 2 x 257
Prime factors of 153 are 3 x 3 x 17
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 514, 153, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 514) = 33924
GCD(132, 514) = ( 132 x 514 ) / 33924
= 132 / 514
= 132
Step2:
LCM(2, 153) = 306
GCD(2, 153) = ( 2 x 153 ) / 306
= 2 / 153
= 2
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 132, 514, 153, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 514, 153, 698
The greatest common divisor of numbers 132, 514, 153, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 514, 153, 698 is 1.
1. What is the GCD of 132, 514, 153, 698?
GCD of given numbers 132, 514, 153, 698 is 1
2. How to calculate the greatest common divisor of 132, 514, 153, 698?
We can find the highest common divisor of 132, 514, 153, 698 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 132, 514, 153, 698 i.e 1.
3. How can I use the GCD of 132, 514, 153, 698Calculator?
Out the numbers 132, 514, 153, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.