GCD of 374, 697, 358, 978 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 374, 697, 358, 978 quickly. Get the easiest ways to solve the greatest common divisor of 374, 697, 358, 978 i.e 1 in different methods as follows.
Given Input numbers are 374, 697, 358, 978
In the factoring method, we have to find the divisors of all numbers
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
GCD of numbers is the greatest common divisor
So, the GCD (374, 697, 358, 978) = 1.
Given numbers are 374, 697, 358, 978
The list of prime factors of all numbers are
Prime factors of 374 are 2 x 11 x 17
Prime factors of 697 are 17 x 41
Prime factors of 358 are 2 x 179
Prime factors of 978 are 2 x 3 x 163
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 374, 697, 358, 978 using LCM Formula
Given numbers are 374, 697, 358, 978
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(374, 697) = 15334
GCD(374, 697) = ( 374 x 697 ) / 15334
= 374 / 697
= 374
Step2:
LCM(17, 358) = 6086
GCD(17, 358) = ( 17 x 358 ) / 6086
= 17 / 358
= 17
Step3:
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
= 1 / 978
= 1
So, Greatest Common Divisor of 374, 697, 358, 978 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 374, 697, 358, 978
Given numbers are 374, 697, 358, 978
The greatest common divisor of numbers 374, 697, 358, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 697, 358, 978 is 1.
FAQs on GCD of 374, 697, 358, 978 Calculator
1. What is the GCD of 374, 697, 358, 978?
GCD of given numbers 374, 697, 358, 978 is 1
2. How to calculate the greatest common divisor of 374, 697, 358, 978?
We can find the highest common divisor of 374, 697, 358, 978 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 374, 697, 358, 978 i.e 1.
3. How can I use the GCD of 374, 697, 358, 978Calculator?
Out the numbers 374, 697, 358, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.