Online GCD Calculator is useful to find the GCD of 742, 861, 667, 696 quickly. Get the easiest ways to solve the greatest common divisor of 742, 861, 667, 696 i.e 1 in different methods as follows.
Given Input numbers are 742, 861, 667, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 667 :
The positive integer divisors of 667 that completely divides 667 are.
1, 23, 29, 667
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (742, 861, 667, 696) = 1.
Given numbers are 742, 861, 667, 696
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 861 are 3 x 7 x 41
Prime factors of 667 are 23 x 29
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 742, 861, 667, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 861) = 91266
GCD(742, 861) = ( 742 x 861 ) / 91266
= 742 / 861
= 742
Step2:
LCM(7, 667) = 4669
GCD(7, 667) = ( 7 x 667 ) / 4669
= 7 / 667
= 7
Step3:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
So, Greatest Common Divisor of 742, 861, 667, 696 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 861, 667, 696
The greatest common divisor of numbers 742, 861, 667, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 861, 667, 696 is 1.
1. What is the GCD of 742, 861, 667, 696?
GCD of given numbers 742, 861, 667, 696 is 1
2. How to calculate the greatest common divisor of 742, 861, 667, 696?
We can find the highest common divisor of 742, 861, 667, 696 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 742, 861, 667, 696 i.e 1.
3. How can I use the GCD of 742, 861, 667, 696Calculator?
Out the numbers 742, 861, 667, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.