GCD of 168, 274, 200, 524 Calculator

Given Input numbers are 168, 274, 200, 524

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (168, 274, 200, 524) = 2.

Given numbers are 168, 274, 200, 524

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 274 are 2 x 137

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

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 168, 274, 200, 524 is 2.

Given numbers are 168, 274, 200, 524

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

Apply this formula for all numbers.

Step1:

LCM(168, 274) = 23016

GCD(168, 274) = ( 168 x 274 ) / 23016

= 168 / 274

= 168

Step2:

LCM(2, 200) = 200

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

= 2 / 200

= 2

Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

So, Greatest Common Divisor of 168, 274, 200, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 788, 418, 188
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• GCD of 981, 228, 785, 630
• GCD of 984, 771, 712, 302
• GCD of 947, 167, 129, 433

Given numbers are 168, 274, 200, 524
The greatest common divisor of numbers 168, 274, 200, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 274, 200, 524 is 2.

1. What is the GCD of 168, 274, 200, 524?

GCD of given numbers 168, 274, 200, 524 is 2

2. How to calculate the greatest common divisor of 168, 274, 200, 524?

We can find the highest common divisor of 168, 274, 200, 524 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 168, 274, 200, 524 i.e 2.

3. How can I use the GCD of 168, 274, 200, 524Calculator?

Out the numbers 168, 274, 200, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.