Online GCD Calculator is useful to find the GCD of 972, 769, 420 quickly. Get the easiest ways to solve the greatest common divisor of 972, 769, 420 i.e 1 in different methods as follows.
Given Input numbers are 972, 769, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 769 :
The positive integer divisors of 769 that completely divides 769 are.
1, 769
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 (972, 769, 420) = 1.
Given numbers are 972, 769, 420
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 769 are 769
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 972, 769, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 769) = 747468
GCD(972, 769) = ( 972 x 769 ) / 747468
= 972 / 769
= 972
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 972, 769, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 769, 420
The greatest common divisor of numbers 972, 769, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 769, 420 is 1.
1. What is the GCD of 972, 769, 420?
GCD of given numbers 972, 769, 420 is 1
2. How to calculate the greatest common divisor of 972, 769, 420?
We can find the highest common divisor of 972, 769, 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 972, 769, 420 i.e 1.
3. How can I use the GCD of 972, 769, 420Calculator?
Out the numbers 972, 769, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.