GCD of 400, 880, 308, 715 Calculator

Given Input numbers are 400, 880, 308, 715

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

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 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

GCD of numbers is the greatest common divisor

So, the GCD (400, 880, 308, 715) = 1.

Given numbers are 400, 880, 308, 715

The list of prime factors of all numbers are

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

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 715 are 5 x 11 x 13

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

Given numbers are 400, 880, 308, 715

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

Apply this formula for all numbers.

Step1:

LCM(400, 880) = 4400

GCD(400, 880) = ( 400 x 880 ) / 4400

= 400 / 880

= 400

Step2:

LCM(80, 308) = 6160

GCD(80, 308) = ( 80 x 308 ) / 6160

= 80 / 308

= 80

Step3:

LCM(4, 715) = 2860

GCD(4, 715) = ( 4 x 715 ) / 2860

= 4 / 715

= 4

So, Greatest Common Divisor of 400, 880, 308, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 114, 883, 554
• GCD of 952, 539, 942, 194
• GCD of 525, 559, 134, 709
• GCD of 875, 367, 192, 681
• GCD of 670, 874, 123, 755

Given numbers are 400, 880, 308, 715
The greatest common divisor of numbers 400, 880, 308, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 880, 308, 715 is 1.

1. What is the GCD of 400, 880, 308, 715?

GCD of given numbers 400, 880, 308, 715 is 1

2. How to calculate the greatest common divisor of 400, 880, 308, 715?

We can find the highest common divisor of 400, 880, 308, 715 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 400, 880, 308, 715 i.e 1.

3. How can I use the GCD of 400, 880, 308, 715Calculator?

Out the numbers 400, 880, 308, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.