GCD of 952, 784, 28, 511 Calculator

Given Input numbers are 952, 784, 28, 511

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

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 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 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 511 :

The positive integer divisors of 511 that completely divides 511 are.

1, 7, 73, 511

GCD of numbers is the greatest common divisor

So, the GCD (952, 784, 28, 511) = 7.

Given numbers are 952, 784, 28, 511

The list of prime factors of all numbers are

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

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

Prime factors of 28 are 2 x 2 x 7

Prime factors of 511 are 7 x 73

The highest common occurrence is 7¹

Therefore, GCD of 952, 784, 28, 511 is 7.

Given numbers are 952, 784, 28, 511

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

Apply this formula for all numbers.

Step1:

LCM(952, 784) = 13328

GCD(952, 784) = ( 952 x 784 ) / 13328

= 952 / 784

= 952

Step2:

LCM(56, 28) = 56

GCD(56, 28) = ( 56 x 28 ) / 56

= 56 / 28

= 56

Step3:

LCM(28, 511) = 2044

GCD(28, 511) = ( 28 x 511 ) / 2044

= 28 / 511

= 28

So, Greatest Common Divisor of 952, 784, 28, 511 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 133, 93, 874
• GCD of 739, 483, 95, 102
• GCD of 710, 966, 72, 405
• GCD of 619, 639, 58, 292
• GCD of 577, 708, 58, 278

Given numbers are 952, 784, 28, 511
The greatest common divisor of numbers 952, 784, 28, 511 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 784, 28, 511 is 7.

1. What is the GCD of 952, 784, 28, 511?

GCD of given numbers 952, 784, 28, 511 is 7

2. How to calculate the greatest common divisor of 952, 784, 28, 511?

We can find the highest common divisor of 952, 784, 28, 511 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 952, 784, 28, 511 i.e 7.

3. How can I use the GCD of 952, 784, 28, 511Calculator?

Out the numbers 952, 784, 28, 511 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.