GCD of 122, 692, 77, 890 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 122, 692, 77, 890 quickly. Get the easiest ways to solve the greatest common divisor of 122, 692, 77, 890 i.e 1 in different methods as follows.
Given Input numbers are 122, 692, 77, 890
In the factoring method, we have to find the divisors of all numbers
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
GCD of numbers is the greatest common divisor
So, the GCD (122, 692, 77, 890) = 1.
Given numbers are 122, 692, 77, 890
The list of prime factors of all numbers are
Prime factors of 122 are 2 x 61
Prime factors of 692 are 2 x 2 x 173
Prime factors of 77 are 7 x 11
Prime factors of 890 are 2 x 5 x 89
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 122, 692, 77, 890 using LCM Formula
Given numbers are 122, 692, 77, 890
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(122, 692) = 42212
GCD(122, 692) = ( 122 x 692 ) / 42212
= 122 / 692
= 122
Step2:
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
= 2 / 77
= 2
Step3:
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
= 1 / 890
= 1
So, Greatest Common Divisor of 122, 692, 77, 890 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 122, 692, 77, 890
Given numbers are 122, 692, 77, 890
The greatest common divisor of numbers 122, 692, 77, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 692, 77, 890 is 1.
FAQs on GCD of 122, 692, 77, 890 Calculator
1. What is the GCD of 122, 692, 77, 890?
GCD of given numbers 122, 692, 77, 890 is 1
2. How to calculate the greatest common divisor of 122, 692, 77, 890?
We can find the highest common divisor of 122, 692, 77, 890 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 122, 692, 77, 890 i.e 1.
3. How can I use the GCD of 122, 692, 77, 890Calculator?
Out the numbers 122, 692, 77, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.