GCD of 402, 152, 100, 504 Calculator

Given Input numbers are 402, 152, 100, 504

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (402, 152, 100, 504) = 2.

Given numbers are 402, 152, 100, 504

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 402, 152, 100, 504 is 2.

Given numbers are 402, 152, 100, 504

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

Apply this formula for all numbers.

Step1:

LCM(402, 152) = 30552

GCD(402, 152) = ( 402 x 152 ) / 30552

= 402 / 152

= 402

Step2:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

Step3:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

So, Greatest Common Divisor of 402, 152, 100, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 934, 423, 774
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• GCD of 867, 705, 824, 168
• GCD of 715, 276, 775, 127
• GCD of 888, 527, 689, 669

Given numbers are 402, 152, 100, 504
The greatest common divisor of numbers 402, 152, 100, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 152, 100, 504 is 2.

1. What is the GCD of 402, 152, 100, 504?

GCD of given numbers 402, 152, 100, 504 is 2

2. How to calculate the greatest common divisor of 402, 152, 100, 504?

We can find the highest common divisor of 402, 152, 100, 504 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 402, 152, 100, 504 i.e 2.

3. How can I use the GCD of 402, 152, 100, 504Calculator?

Out the numbers 402, 152, 100, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.