GCD of 274, 494, 149, 692 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 274, 494, 149, 692 quickly. Get the easiest ways to solve the greatest common divisor of 274, 494, 149, 692 i.e 1 in different methods as follows.
Given Input numbers are 274, 494, 149, 692
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 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
GCD of numbers is the greatest common divisor
So, the GCD (274, 494, 149, 692) = 1.
Given numbers are 274, 494, 149, 692
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 494 are 2 x 13 x 19
Prime factors of 149 are 149
Prime factors of 692 are 2 x 2 x 173
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 274, 494, 149, 692 using LCM Formula
Given numbers are 274, 494, 149, 692
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 494) = 67678
GCD(274, 494) = ( 274 x 494 ) / 67678
= 274 / 494
= 274
Step2:
LCM(2, 149) = 298
GCD(2, 149) = ( 2 x 149 ) / 298
= 2 / 149
= 2
Step3:
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
= 1 / 692
= 1
So, Greatest Common Divisor of 274, 494, 149, 692 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 274, 494, 149, 692
Given numbers are 274, 494, 149, 692
The greatest common divisor of numbers 274, 494, 149, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 494, 149, 692 is 1.
FAQs on GCD of 274, 494, 149, 692 Calculator
1. What is the GCD of 274, 494, 149, 692?
GCD of given numbers 274, 494, 149, 692 is 1
2. How to calculate the greatest common divisor of 274, 494, 149, 692?
We can find the highest common divisor of 274, 494, 149, 692 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, 494, 149, 692 i.e 1.
3. How can I use the GCD of 274, 494, 149, 692Calculator?
Out the numbers 274, 494, 149, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.