GCD of 428, 952, 464, 804 Calculator

Given Input numbers are 428, 952, 464, 804

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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

GCD of numbers is the greatest common divisor

So, the GCD (428, 952, 464, 804) = 4.

Given numbers are 428, 952, 464, 804

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

The highest common occurrence is 2²

Therefore, GCD of 428, 952, 464, 804 is 4.

Given numbers are 428, 952, 464, 804

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

Apply this formula for all numbers.

Step1:

LCM(428, 952) = 101864

GCD(428, 952) = ( 428 x 952 ) / 101864

= 428 / 952

= 428

Step2:

LCM(4, 464) = 464

GCD(4, 464) = ( 4 x 464 ) / 464

= 4 / 464

= 4

Step3:

LCM(4, 804) = 804

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

= 4 / 804

= 4

So, Greatest Common Divisor of 428, 952, 464, 804 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 703, 506, 931
• GCD of 903, 142, 342, 673
• GCD of 991, 217, 592, 993
• GCD of 606, 852, 971, 450
• GCD of 200, 763, 932, 543

Given numbers are 428, 952, 464, 804
The greatest common divisor of numbers 428, 952, 464, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 952, 464, 804 is 4.

1. What is the GCD of 428, 952, 464, 804?

GCD of given numbers 428, 952, 464, 804 is 4

2. How to calculate the greatest common divisor of 428, 952, 464, 804?

We can find the highest common divisor of 428, 952, 464, 804 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 428, 952, 464, 804 i.e 4.

3. How can I use the GCD of 428, 952, 464, 804Calculator?

Out the numbers 428, 952, 464, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.