GCD of 322, 762, 69, 977 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 322, 762, 69, 977 quickly. Get the easiest ways to solve the greatest common divisor of 322, 762, 69, 977 i.e 1 in different methods as follows.
Given Input numbers are 322, 762, 69, 977
In the factoring method, we have to find the divisors of all numbers
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 69 :
The positive integer divisors of 69 that completely divides 69 are.
1, 3, 23, 69
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
GCD of numbers is the greatest common divisor
So, the GCD (322, 762, 69, 977) = 1.
Given numbers are 322, 762, 69, 977
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 762 are 2 x 3 x 127
Prime factors of 69 are 3 x 23
Prime factors of 977 are 977
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 322, 762, 69, 977 using LCM Formula
Given numbers are 322, 762, 69, 977
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 762) = 122682
GCD(322, 762) = ( 322 x 762 ) / 122682
= 322 / 762
= 322
Step2:
LCM(2, 69) = 138
GCD(2, 69) = ( 2 x 69 ) / 138
= 2 / 69
= 2
Step3:
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
= 1 / 977
= 1
So, Greatest Common Divisor of 322, 762, 69, 977 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 322, 762, 69, 977
Given numbers are 322, 762, 69, 977
The greatest common divisor of numbers 322, 762, 69, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 762, 69, 977 is 1.
FAQs on GCD of 322, 762, 69, 977 Calculator
1. What is the GCD of 322, 762, 69, 977?
GCD of given numbers 322, 762, 69, 977 is 1
2. How to calculate the greatest common divisor of 322, 762, 69, 977?
We can find the highest common divisor of 322, 762, 69, 977 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 322, 762, 69, 977 i.e 1.
3. How can I use the GCD of 322, 762, 69, 977Calculator?
Out the numbers 322, 762, 69, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.