GCD of 274, 689, 83, 921 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 274, 689, 83, 921 quickly. Get the easiest ways to solve the greatest common divisor of 274, 689, 83, 921 i.e 1 in different methods as follows.
Given Input numbers are 274, 689, 83, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 83 :
The positive integer divisors of 83 that completely divides 83 are.
1, 83
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (274, 689, 83, 921) = 1.
Given numbers are 274, 689, 83, 921
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 689 are 13 x 53
Prime factors of 83 are 83
Prime factors of 921 are 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 274, 689, 83, 921 using LCM Formula
Given numbers are 274, 689, 83, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 689) = 188786
GCD(274, 689) = ( 274 x 689 ) / 188786
= 274 / 689
= 274
Step2:
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
= 1 / 83
= 1
Step3:
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
= 1 / 921
= 1
So, Greatest Common Divisor of 274, 689, 83, 921 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 274, 689, 83, 921
Given numbers are 274, 689, 83, 921
The greatest common divisor of numbers 274, 689, 83, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 689, 83, 921 is 1.
FAQs on GCD of 274, 689, 83, 921 Calculator
1. What is the GCD of 274, 689, 83, 921?
GCD of given numbers 274, 689, 83, 921 is 1
2. How to calculate the greatest common divisor of 274, 689, 83, 921?
We can find the highest common divisor of 274, 689, 83, 921 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 274, 689, 83, 921 i.e 1.
3. How can I use the GCD of 274, 689, 83, 921Calculator?
Out the numbers 274, 689, 83, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.