GCD of 376, 209, 649, 351 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 376, 209, 649, 351 quickly. Get the easiest ways to solve the greatest common divisor of 376, 209, 649, 351 i.e 1 in different methods as follows.
Given Input numbers are 376, 209, 649, 351
In the factoring method, we have to find the divisors of all numbers
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
GCD of numbers is the greatest common divisor
So, the GCD (376, 209, 649, 351) = 1.
Given numbers are 376, 209, 649, 351
The list of prime factors of all numbers are
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 209 are 11 x 19
Prime factors of 649 are 11 x 59
Prime factors of 351 are 3 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 376, 209, 649, 351 using LCM Formula
Given numbers are 376, 209, 649, 351
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(376, 209) = 78584
GCD(376, 209) = ( 376 x 209 ) / 78584
= 376 / 209
= 376
Step2:
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
= 1 / 649
= 1
Step3:
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
= 1 / 351
= 1
So, Greatest Common Divisor of 376, 209, 649, 351 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 376, 209, 649, 351
Given numbers are 376, 209, 649, 351
The greatest common divisor of numbers 376, 209, 649, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 209, 649, 351 is 1.
FAQs on GCD of 376, 209, 649, 351 Calculator
1. What is the GCD of 376, 209, 649, 351?
GCD of given numbers 376, 209, 649, 351 is 1
2. How to calculate the greatest common divisor of 376, 209, 649, 351?
We can find the highest common divisor of 376, 209, 649, 351 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 376, 209, 649, 351 i.e 1.
3. How can I use the GCD of 376, 209, 649, 351Calculator?
Out the numbers 376, 209, 649, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.