GCD of 354, 497, 700, 809 Calculator

Given Input numbers are 354, 497, 700, 809

In the factoring method, we have to find the divisors of all numbers

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

GCD of numbers is the greatest common divisor

So, the GCD (354, 497, 700, 809) = 1.

Given numbers are 354, 497, 700, 809

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 497 are 7 x 71

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 809 are 809

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 354, 497, 700, 809

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(354, 497) = 175938

GCD(354, 497) = ( 354 x 497 ) / 175938

= 354 / 497

= 354

Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

Step3:

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

= 1 / 809

= 1

So, Greatest Common Divisor of 354, 497, 700, 809 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 633, 856, 695
• GCD of 872, 240, 242, 764
• GCD of 172, 549, 100, 892
• GCD of 173, 535, 649, 492
• GCD of 613, 165, 838, 227

Given numbers are 354, 497, 700, 809
The greatest common divisor of numbers 354, 497, 700, 809 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 497, 700, 809 is 1.

1. What is the GCD of 354, 497, 700, 809?

GCD of given numbers 354, 497, 700, 809 is 1

2. How to calculate the greatest common divisor of 354, 497, 700, 809?

We can find the highest common divisor of 354, 497, 700, 809 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 354, 497, 700, 809 i.e 1.

3. How can I use the GCD of 354, 497, 700, 809Calculator?

Out the numbers 354, 497, 700, 809 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.