Online GCD Calculator is useful to find the GCD of 351, 400, 725, 498 quickly. Get the easiest ways to solve the greatest common divisor of 351, 400, 725, 498 i.e 1 in different methods as follows.
Given Input numbers are 351, 400, 725, 498
In the factoring method, we have to find the divisors of all numbers
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
GCD of numbers is the greatest common divisor
So, the GCD (351, 400, 725, 498) = 1.
Given numbers are 351, 400, 725, 498
The list of prime factors of all numbers are
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 725 are 5 x 5 x 29
Prime factors of 498 are 2 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 351, 400, 725, 498
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(351, 400) = 140400
GCD(351, 400) = ( 351 x 400 ) / 140400
= 351 / 400
= 351
Step2:
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
= 1 / 725
= 1
Step3:
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
= 1 / 498
= 1
So, Greatest Common Divisor of 351, 400, 725, 498 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 351, 400, 725, 498
The greatest common divisor of numbers 351, 400, 725, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 400, 725, 498 is 1.
1. What is the GCD of 351, 400, 725, 498?
GCD of given numbers 351, 400, 725, 498 is 1
2. How to calculate the greatest common divisor of 351, 400, 725, 498?
We can find the highest common divisor of 351, 400, 725, 498 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 351, 400, 725, 498 i.e 1.
3. How can I use the GCD of 351, 400, 725, 498Calculator?
Out the numbers 351, 400, 725, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.