GCD of 400, 148, 588, 153 Calculator

Given Input numbers are 400, 148, 588, 153

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 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (400, 148, 588, 153) = 1.

Given numbers are 400, 148, 588, 153

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 148 are 2 x 2 x 37

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 153 are 3 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 400, 148, 588, 153

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

Apply this formula for all numbers.

Step1:

LCM(400, 148) = 14800

GCD(400, 148) = ( 400 x 148 ) / 14800

= 400 / 148

= 400

Step2:

LCM(4, 588) = 588

GCD(4, 588) = ( 4 x 588 ) / 588

= 4 / 588

= 4

Step3:

LCM(4, 153) = 612

GCD(4, 153) = ( 4 x 153 ) / 612

= 4 / 153

= 4

So, Greatest Common Divisor of 400, 148, 588, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 581, 308, 838
• GCD of 667, 183, 841, 533
• GCD of 587, 880, 127, 691
• GCD of 371, 949, 297, 269
• GCD of 302, 931, 775, 305

Given numbers are 400, 148, 588, 153
The greatest common divisor of numbers 400, 148, 588, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 148, 588, 153 is 1.

1. What is the GCD of 400, 148, 588, 153?

GCD of given numbers 400, 148, 588, 153 is 1

2. How to calculate the greatest common divisor of 400, 148, 588, 153?

We can find the highest common divisor of 400, 148, 588, 153 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, 148, 588, 153 i.e 1.

3. How can I use the GCD of 400, 148, 588, 153Calculator?

Out the numbers 400, 148, 588, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.