Online GCD Calculator is useful to find the GCD of 852, 705, 602, 722 quickly. Get the easiest ways to solve the greatest common divisor of 852, 705, 602, 722 i.e 1 in different methods as follows.
Given Input numbers are 852, 705, 602, 722
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
GCD of numbers is the greatest common divisor
So, the GCD (852, 705, 602, 722) = 1.
Given numbers are 852, 705, 602, 722
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 705 are 3 x 5 x 47
Prime factors of 602 are 2 x 7 x 43
Prime factors of 722 are 2 x 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 852, 705, 602, 722
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 705) = 200220
GCD(852, 705) = ( 852 x 705 ) / 200220
= 852 / 705
= 852
Step2:
LCM(3, 602) = 1806
GCD(3, 602) = ( 3 x 602 ) / 1806
= 3 / 602
= 3
Step3:
LCM(1, 722) = 722
GCD(1, 722) = ( 1 x 722 ) / 722
= 1 / 722
= 1
So, Greatest Common Divisor of 852, 705, 602, 722 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 705, 602, 722
The greatest common divisor of numbers 852, 705, 602, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 705, 602, 722 is 1.
1. What is the GCD of 852, 705, 602, 722?
GCD of given numbers 852, 705, 602, 722 is 1
2. How to calculate the greatest common divisor of 852, 705, 602, 722?
We can find the highest common divisor of 852, 705, 602, 722 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 852, 705, 602, 722 i.e 1.
3. How can I use the GCD of 852, 705, 602, 722Calculator?
Out the numbers 852, 705, 602, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.