GCD of 497, 380, 107, 407 Calculator

Given Input numbers are 497, 380, 107, 407

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

Divisors of 497 :

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

1, 7, 71, 497

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

GCD of numbers is the greatest common divisor

So, the GCD (497, 380, 107, 407) = 1.

Given numbers are 497, 380, 107, 407

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 107 are 107

Prime factors of 407 are 11 x 37

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

Given numbers are 497, 380, 107, 407

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

Apply this formula for all numbers.

Step1:

LCM(497, 380) = 188860

GCD(497, 380) = ( 497 x 380 ) / 188860

= 497 / 380

= 497

Step2:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1

Step3:

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

= 1 / 407

= 1

So, Greatest Common Divisor of 497, 380, 107, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 823, 895, 800
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Given numbers are 497, 380, 107, 407
The greatest common divisor of numbers 497, 380, 107, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 380, 107, 407 is 1.

1. What is the GCD of 497, 380, 107, 407?

GCD of given numbers 497, 380, 107, 407 is 1

2. How to calculate the greatest common divisor of 497, 380, 107, 407?

We can find the highest common divisor of 497, 380, 107, 407 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 497, 380, 107, 407 i.e 1.

3. How can I use the GCD of 497, 380, 107, 407Calculator?

Out the numbers 497, 380, 107, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.