GCD of 420, 296, 804, 772 Calculator

Given Input numbers are 420, 296, 804, 772

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

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (420, 296, 804, 772) = 4.

Given numbers are 420, 296, 804, 772

The list of prime factors of all numbers are

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

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2²

Therefore, GCD of 420, 296, 804, 772 is 4.

Given numbers are 420, 296, 804, 772

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

Apply this formula for all numbers.

Step1:

LCM(420, 296) = 31080

GCD(420, 296) = ( 420 x 296 ) / 31080

= 420 / 296

= 420

Step2:

LCM(4, 804) = 804

GCD(4, 804) = ( 4 x 804 ) / 804

= 4 / 804

= 4

Step3:

LCM(4, 772) = 772

GCD(4, 772) = ( 4 x 772 ) / 772

= 4 / 772

= 4

So, Greatest Common Divisor of 420, 296, 804, 772 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 235, 696, 895
• GCD of 976, 579, 981, 394
• GCD of 184, 529, 208, 922
• GCD of 387, 517, 906, 604
• GCD of 335, 466, 788, 477

Given numbers are 420, 296, 804, 772
The greatest common divisor of numbers 420, 296, 804, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 296, 804, 772 is 4.

1. What is the GCD of 420, 296, 804, 772?

GCD of given numbers 420, 296, 804, 772 is 4

2. How to calculate the greatest common divisor of 420, 296, 804, 772?

We can find the highest common divisor of 420, 296, 804, 772 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 420, 296, 804, 772 i.e 4.

3. How can I use the GCD of 420, 296, 804, 772Calculator?

Out the numbers 420, 296, 804, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.