Online GCD Calculator is useful to find the GCD of 742, 651, 308, 655 quickly. Get the easiest ways to solve the greatest common divisor of 742, 651, 308, 655 i.e 1 in different methods as follows.
Given Input numbers are 742, 651, 308, 655
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 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
GCD of numbers is the greatest common divisor
So, the GCD (742, 651, 308, 655) = 1.
Given numbers are 742, 651, 308, 655
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 651 are 3 x 7 x 31
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 655 are 5 x 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 742, 651, 308, 655
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 651) = 69006
GCD(742, 651) = ( 742 x 651 ) / 69006
= 742 / 651
= 742
Step2:
LCM(7, 308) = 308
GCD(7, 308) = ( 7 x 308 ) / 308
= 7 / 308
= 7
Step3:
LCM(7, 655) = 4585
GCD(7, 655) = ( 7 x 655 ) / 4585
= 7 / 655
= 7
So, Greatest Common Divisor of 742, 651, 308, 655 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 651, 308, 655
The greatest common divisor of numbers 742, 651, 308, 655 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 651, 308, 655 is 1.
1. What is the GCD of 742, 651, 308, 655?
GCD of given numbers 742, 651, 308, 655 is 1
2. How to calculate the greatest common divisor of 742, 651, 308, 655?
We can find the highest common divisor of 742, 651, 308, 655 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, 651, 308, 655 i.e 1.
3. How can I use the GCD of 742, 651, 308, 655Calculator?
Out the numbers 742, 651, 308, 655 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.