Online GCD Calculator is useful to find the GCD of 690, 610, 742, 869 quickly. Get the easiest ways to solve the greatest common divisor of 690, 610, 742, 869 i.e 1 in different methods as follows.
Given Input numbers are 690, 610, 742, 869
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 610 :
The positive integer divisors of 610 that completely divides 610 are.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 869 :
The positive integer divisors of 869 that completely divides 869 are.
1, 11, 79, 869
GCD of numbers is the greatest common divisor
So, the GCD (690, 610, 742, 869) = 1.
Given numbers are 690, 610, 742, 869
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 610 are 2 x 5 x 61
Prime factors of 742 are 2 x 7 x 53
Prime factors of 869 are 11 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 690, 610, 742, 869
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 610) = 42090
GCD(690, 610) = ( 690 x 610 ) / 42090
= 690 / 610
= 690
Step2:
LCM(10, 742) = 3710
GCD(10, 742) = ( 10 x 742 ) / 3710
= 10 / 742
= 10
Step3:
LCM(2, 869) = 1738
GCD(2, 869) = ( 2 x 869 ) / 1738
= 2 / 869
= 2
So, Greatest Common Divisor of 690, 610, 742, 869 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 610, 742, 869
The greatest common divisor of numbers 690, 610, 742, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 610, 742, 869 is 1.
1. What is the GCD of 690, 610, 742, 869?
GCD of given numbers 690, 610, 742, 869 is 1
2. How to calculate the greatest common divisor of 690, 610, 742, 869?
We can find the highest common divisor of 690, 610, 742, 869 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 690, 610, 742, 869 i.e 1.
3. How can I use the GCD of 690, 610, 742, 869Calculator?
Out the numbers 690, 610, 742, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.