GCD of 562, 966, 750, 538 Calculator

Given Input numbers are 562, 966, 750, 538

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (562, 966, 750, 538) = 2.

Given numbers are 562, 966, 750, 538

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 562, 966, 750, 538 is 2.

Given numbers are 562, 966, 750, 538

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

Apply this formula for all numbers.

Step1:

LCM(562, 966) = 271446

GCD(562, 966) = ( 562 x 966 ) / 271446

= 562 / 966

= 562

Step2:

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

= 2 / 750

= 2

Step3:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

So, Greatest Common Divisor of 562, 966, 750, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 604, 875, 186
• GCD of 832, 498, 408, 725
• GCD of 797, 746, 841, 220
• GCD of 132, 499, 392, 224
• GCD of 946, 341, 215, 236

Given numbers are 562, 966, 750, 538
The greatest common divisor of numbers 562, 966, 750, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 966, 750, 538 is 2.

1. What is the GCD of 562, 966, 750, 538?

GCD of given numbers 562, 966, 750, 538 is 2

2. How to calculate the greatest common divisor of 562, 966, 750, 538?

We can find the highest common divisor of 562, 966, 750, 538 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 562, 966, 750, 538 i.e 2.

3. How can I use the GCD of 562, 966, 750, 538Calculator?

Out the numbers 562, 966, 750, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.