Online GCD Calculator is useful to find the GCD of 694, 972, 123, 153 quickly. Get the easiest ways to solve the greatest common divisor of 694, 972, 123, 153 i.e 1 in different methods as follows.
Given Input numbers are 694, 972, 123, 153
In the factoring method, we have to find the divisors of all numbers
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
GCD of numbers is the greatest common divisor
So, the GCD (694, 972, 123, 153) = 1.
Given numbers are 694, 972, 123, 153
The list of prime factors of all numbers are
Prime factors of 694 are 2 x 347
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 123 are 3 x 41
Prime factors of 153 are 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 694, 972, 123, 153
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(694, 972) = 337284
GCD(694, 972) = ( 694 x 972 ) / 337284
= 694 / 972
= 694
Step2:
LCM(2, 123) = 246
GCD(2, 123) = ( 2 x 123 ) / 246
= 2 / 123
= 2
Step3:
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
= 1 / 153
= 1
So, Greatest Common Divisor of 694, 972, 123, 153 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 694, 972, 123, 153
The greatest common divisor of numbers 694, 972, 123, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 694, 972, 123, 153 is 1.
1. What is the GCD of 694, 972, 123, 153?
GCD of given numbers 694, 972, 123, 153 is 1
2. How to calculate the greatest common divisor of 694, 972, 123, 153?
We can find the highest common divisor of 694, 972, 123, 153 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 694, 972, 123, 153 i.e 1.
3. How can I use the GCD of 694, 972, 123, 153Calculator?
Out the numbers 694, 972, 123, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.