GCD of 400, 700, 488, 202 Calculator

Given Input numbers are 400, 700, 488, 202

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

GCD of numbers is the greatest common divisor

So, the GCD (400, 700, 488, 202) = 2.

Given numbers are 400, 700, 488, 202

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 202 are 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 400, 700, 488, 202 is 2.

Given numbers are 400, 700, 488, 202

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

Apply this formula for all numbers.

Step1:

LCM(400, 700) = 2800

GCD(400, 700) = ( 400 x 700 ) / 2800

= 400 / 700

= 400

Step2:

LCM(100, 488) = 12200

GCD(100, 488) = ( 100 x 488 ) / 12200

= 100 / 488

= 100

Step3:

LCM(4, 202) = 404

GCD(4, 202) = ( 4 x 202 ) / 404

= 4 / 202

= 4

So, Greatest Common Divisor of 400, 700, 488, 202 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 516, 401, 824
• GCD of 407, 330, 815, 896
• GCD of 542, 276, 515, 874
• GCD of 659, 636, 629, 382
• GCD of 943, 189, 678, 309

Given numbers are 400, 700, 488, 202
The greatest common divisor of numbers 400, 700, 488, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 700, 488, 202 is 2.

1. What is the GCD of 400, 700, 488, 202?

GCD of given numbers 400, 700, 488, 202 is 2

2. How to calculate the greatest common divisor of 400, 700, 488, 202?

We can find the highest common divisor of 400, 700, 488, 202 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 400, 700, 488, 202 i.e 2.

3. How can I use the GCD of 400, 700, 488, 202Calculator?

Out the numbers 400, 700, 488, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.