GCD of 399, 700, 959, 407 Calculator

Given Input numbers are 399, 700, 959, 407

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

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

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 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

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 (399, 700, 959, 407) = 1.

Given numbers are 399, 700, 959, 407

The list of prime factors of all numbers are

Prime factors of 399 are 3 x 7 x 19

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

Prime factors of 959 are 7 x 137

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 399, 700, 959, 407

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

Apply this formula for all numbers.

Step1:

LCM(399, 700) = 39900

GCD(399, 700) = ( 399 x 700 ) / 39900

= 399 / 700

= 399

Step2:

LCM(7, 959) = 959

GCD(7, 959) = ( 7 x 959 ) / 959

= 7 / 959

= 7

Step3:

LCM(7, 407) = 2849

GCD(7, 407) = ( 7 x 407 ) / 2849

= 7 / 407

= 7

So, Greatest Common Divisor of 399, 700, 959, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 319, 914, 723
• GCD of 574, 271, 456, 881
• GCD of 391, 445, 669, 794
• GCD of 285, 595, 302, 741
• GCD of 506, 560, 787, 118

Given numbers are 399, 700, 959, 407
The greatest common divisor of numbers 399, 700, 959, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 700, 959, 407 is 1.

1. What is the GCD of 399, 700, 959, 407?

GCD of given numbers 399, 700, 959, 407 is 1

2. How to calculate the greatest common divisor of 399, 700, 959, 407?

We can find the highest common divisor of 399, 700, 959, 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 399, 700, 959, 407 i.e 1.

3. How can I use the GCD of 399, 700, 959, 407Calculator?

Out the numbers 399, 700, 959, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.