Online GCD Calculator is useful to find the GCD of 700, 765, 586, 442 quickly. Get the easiest ways to solve the greatest common divisor of 700, 765, 586, 442 i.e 1 in different methods as follows.
Given Input numbers are 700, 765, 586, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (700, 765, 586, 442) = 1.
Given numbers are 700, 765, 586, 442
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 586 are 2 x 293
Prime factors of 442 are 2 x 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 700, 765, 586, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 765) = 107100
GCD(700, 765) = ( 700 x 765 ) / 107100
= 700 / 765
= 700
Step2:
LCM(5, 586) = 2930
GCD(5, 586) = ( 5 x 586 ) / 2930
= 5 / 586
= 5
Step3:
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
= 1 / 442
= 1
So, Greatest Common Divisor of 700, 765, 586, 442 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 765, 586, 442
The greatest common divisor of numbers 700, 765, 586, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 765, 586, 442 is 1.
1. What is the GCD of 700, 765, 586, 442?
GCD of given numbers 700, 765, 586, 442 is 1
2. How to calculate the greatest common divisor of 700, 765, 586, 442?
We can find the highest common divisor of 700, 765, 586, 442 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 700, 765, 586, 442 i.e 1.
3. How can I use the GCD of 700, 765, 586, 442Calculator?
Out the numbers 700, 765, 586, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.