Online GCD Calculator is useful to find the GCD of 742, 102, 711, 690 quickly. Get the easiest ways to solve the greatest common divisor of 742, 102, 711, 690 i.e 1 in different methods as follows.
Given Input numbers are 742, 102, 711, 690
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
GCD of numbers is the greatest common divisor
So, the GCD (742, 102, 711, 690) = 1.
Given numbers are 742, 102, 711, 690
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 102 are 2 x 3 x 17
Prime factors of 711 are 3 x 3 x 79
Prime factors of 690 are 2 x 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 742, 102, 711, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 102) = 37842
GCD(742, 102) = ( 742 x 102 ) / 37842
= 742 / 102
= 742
Step2:
LCM(2, 711) = 1422
GCD(2, 711) = ( 2 x 711 ) / 1422
= 2 / 711
= 2
Step3:
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
= 1 / 690
= 1
So, Greatest Common Divisor of 742, 102, 711, 690 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 102, 711, 690
The greatest common divisor of numbers 742, 102, 711, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 102, 711, 690 is 1.
1. What is the GCD of 742, 102, 711, 690?
GCD of given numbers 742, 102, 711, 690 is 1
2. How to calculate the greatest common divisor of 742, 102, 711, 690?
We can find the highest common divisor of 742, 102, 711, 690 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, 102, 711, 690 i.e 1.
3. How can I use the GCD of 742, 102, 711, 690Calculator?
Out the numbers 742, 102, 711, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.