GCD of 655, 757, 784, 420 Calculator

Given Input numbers are 655, 757, 784, 420

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

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 757 :

The positive integer divisors of 757 that completely divides 757 are.

1, 757

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (655, 757, 784, 420) = 1.

Given numbers are 655, 757, 784, 420

The list of prime factors of all numbers are

Prime factors of 655 are 5 x 131

Prime factors of 757 are 757

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 655, 757, 784, 420

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

Apply this formula for all numbers.

Step1:

LCM(655, 757) = 495835

GCD(655, 757) = ( 655 x 757 ) / 495835

= 655 / 757

= 655

Step2:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 655, 757, 784, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 761, 368, 912
• GCD of 128, 214, 829, 845
• GCD of 151, 787, 968, 453
• GCD of 909, 556, 223, 884
• GCD of 494, 331, 236, 641

Given numbers are 655, 757, 784, 420
The greatest common divisor of numbers 655, 757, 784, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 655, 757, 784, 420 is 1.

1. What is the GCD of 655, 757, 784, 420?

GCD of given numbers 655, 757, 784, 420 is 1

2. How to calculate the greatest common divisor of 655, 757, 784, 420?

We can find the highest common divisor of 655, 757, 784, 420 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 655, 757, 784, 420 i.e 1.

3. How can I use the GCD of 655, 757, 784, 420Calculator?

Out the numbers 655, 757, 784, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.