GCD of 700, 432, 898, 152 Calculator

Given Input numbers are 700, 432, 898, 152

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

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 152 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (700, 432, 898, 152) = 2.

Given numbers are 700, 432, 898, 152

The list of prime factors of all numbers are

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

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 898 are 2 x 449

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

The highest common occurrence is 2¹

Therefore, GCD of 700, 432, 898, 152 is 2.

Given numbers are 700, 432, 898, 152

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

Apply this formula for all numbers.

Step1:

LCM(700, 432) = 75600

GCD(700, 432) = ( 700 x 432 ) / 75600

= 700 / 432

= 700

Step2:

LCM(4, 898) = 1796

GCD(4, 898) = ( 4 x 898 ) / 1796

= 4 / 898

= 4

Step3:

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

= 2 / 152

= 2

So, Greatest Common Divisor of 700, 432, 898, 152 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 814, 135, 847
• GCD of 474, 130, 217, 780
• GCD of 265, 583, 872, 230
• GCD of 589, 114, 239, 768
• GCD of 395, 406, 412, 275

Given numbers are 700, 432, 898, 152
The greatest common divisor of numbers 700, 432, 898, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 432, 898, 152 is 2.

1. What is the GCD of 700, 432, 898, 152?

GCD of given numbers 700, 432, 898, 152 is 2

2. How to calculate the greatest common divisor of 700, 432, 898, 152?

We can find the highest common divisor of 700, 432, 898, 152 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 700, 432, 898, 152 i.e 2.

3. How can I use the GCD of 700, 432, 898, 152Calculator?

Out the numbers 700, 432, 898, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.