GCD of 760, 404, 709, 400 Calculator

Given Input numbers are 760, 404, 709, 400

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

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

GCD of numbers is the greatest common divisor

So, the GCD (760, 404, 709, 400) = 1.

Given numbers are 760, 404, 709, 400

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 404 are 2 x 2 x 101

Prime factors of 709 are 709

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 760, 404, 709, 400

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

Apply this formula for all numbers.

Step1:

LCM(760, 404) = 76760

GCD(760, 404) = ( 760 x 404 ) / 76760

= 760 / 404

= 760

Step2:

LCM(4, 709) = 2836

GCD(4, 709) = ( 4 x 709 ) / 2836

= 4 / 709

= 4

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 760, 404, 709, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 319, 191, 747
• GCD of 663, 834, 174, 572
• GCD of 339, 881, 225, 445
• GCD of 546, 872, 144, 806
• GCD of 746, 101, 565, 930

Given numbers are 760, 404, 709, 400
The greatest common divisor of numbers 760, 404, 709, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 404, 709, 400 is 1.

1. What is the GCD of 760, 404, 709, 400?

GCD of given numbers 760, 404, 709, 400 is 1

2. How to calculate the greatest common divisor of 760, 404, 709, 400?

We can find the highest common divisor of 760, 404, 709, 400 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 760, 404, 709, 400 i.e 1.

3. How can I use the GCD of 760, 404, 709, 400Calculator?

Out the numbers 760, 404, 709, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.