GCD of 542, 892, 200, 964 Calculator

Given Input numbers are 542, 892, 200, 964

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (542, 892, 200, 964) = 2.

Given numbers are 542, 892, 200, 964

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 892 are 2 x 2 x 223

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 542, 892, 200, 964 is 2.

Given numbers are 542, 892, 200, 964

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

Apply this formula for all numbers.

Step1:

LCM(542, 892) = 241732

GCD(542, 892) = ( 542 x 892 ) / 241732

= 542 / 892

= 542

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

So, Greatest Common Divisor of 542, 892, 200, 964 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 117, 196, 950
• GCD of 391, 379, 699, 295
• GCD of 987, 502, 232, 131
• GCD of 379, 940, 420, 293
• GCD of 491, 888, 671, 619

Given numbers are 542, 892, 200, 964
The greatest common divisor of numbers 542, 892, 200, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 892, 200, 964 is 2.

1. What is the GCD of 542, 892, 200, 964?

GCD of given numbers 542, 892, 200, 964 is 2

2. How to calculate the greatest common divisor of 542, 892, 200, 964?

We can find the highest common divisor of 542, 892, 200, 964 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 542, 892, 200, 964 i.e 2.

3. How can I use the GCD of 542, 892, 200, 964Calculator?

Out the numbers 542, 892, 200, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.