Online GCD Calculator is useful to find the GCD of 182, 969, 735, 420 quickly. Get the easiest ways to solve the greatest common divisor of 182, 969, 735, 420 i.e 1 in different methods as follows.
Given Input numbers are 182, 969, 735, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
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
GCD of numbers is the greatest common divisor
So, the GCD (182, 969, 735, 420) = 1.
Given numbers are 182, 969, 735, 420
The list of prime factors of all numbers are
Prime factors of 182 are 2 x 7 x 13
Prime factors of 969 are 3 x 17 x 19
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 182, 969, 735, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(182, 969) = 176358
GCD(182, 969) = ( 182 x 969 ) / 176358
= 182 / 969
= 182
Step2:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 182, 969, 735, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 182, 969, 735, 420
The greatest common divisor of numbers 182, 969, 735, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 969, 735, 420 is 1.
1. What is the GCD of 182, 969, 735, 420?
GCD of given numbers 182, 969, 735, 420 is 1
2. How to calculate the greatest common divisor of 182, 969, 735, 420?
We can find the highest common divisor of 182, 969, 735, 420 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 182, 969, 735, 420 i.e 1.
3. How can I use the GCD of 182, 969, 735, 420Calculator?
Out the numbers 182, 969, 735, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.