Online GCD Calculator is useful to find the GCD of 420, 169, 653, 862 quickly. Get the easiest ways to solve the greatest common divisor of 420, 169, 653, 862 i.e 1 in different methods as follows.
Given Input numbers are 420, 169, 653, 862
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 653 :
The positive integer divisors of 653 that completely divides 653 are.
1, 653
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
GCD of numbers is the greatest common divisor
So, the GCD (420, 169, 653, 862) = 1.
Given numbers are 420, 169, 653, 862
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 169 are 13 x 13
Prime factors of 653 are 653
Prime factors of 862 are 2 x 431
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 169, 653, 862
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 169) = 70980
GCD(420, 169) = ( 420 x 169 ) / 70980
= 420 / 169
= 420
Step2:
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
= 1 / 653
= 1
Step3:
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
= 1 / 862
= 1
So, Greatest Common Divisor of 420, 169, 653, 862 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 169, 653, 862
The greatest common divisor of numbers 420, 169, 653, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 169, 653, 862 is 1.
1. What is the GCD of 420, 169, 653, 862?
GCD of given numbers 420, 169, 653, 862 is 1
2. How to calculate the greatest common divisor of 420, 169, 653, 862?
We can find the highest common divisor of 420, 169, 653, 862 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 420, 169, 653, 862 i.e 1.
3. How can I use the GCD of 420, 169, 653, 862Calculator?
Out the numbers 420, 169, 653, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.