GCD of 456, 392, 152, 270 Calculator

Given Input numbers are 456, 392, 152, 270

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 152 :

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

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (456, 392, 152, 270) = 2.

Given numbers are 456, 392, 152, 270

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 456, 392, 152, 270 is 2.

Given numbers are 456, 392, 152, 270

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

Apply this formula for all numbers.

Step1:

LCM(456, 392) = 22344

GCD(456, 392) = ( 456 x 392 ) / 22344

= 456 / 392

= 456

Step2:

LCM(8, 152) = 152

GCD(8, 152) = ( 8 x 152 ) / 152

= 8 / 152

= 8

Step3:

LCM(8, 270) = 1080

GCD(8, 270) = ( 8 x 270 ) / 1080

= 8 / 270

= 8

So, Greatest Common Divisor of 456, 392, 152, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 354, 625, 621
• GCD of 199, 431, 381, 530
• GCD of 306, 120, 541, 148
• GCD of 211, 926, 762, 752
• GCD of 874, 625, 425, 359

Given numbers are 456, 392, 152, 270
The greatest common divisor of numbers 456, 392, 152, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 392, 152, 270 is 2.

1. What is the GCD of 456, 392, 152, 270?

GCD of given numbers 456, 392, 152, 270 is 2

2. How to calculate the greatest common divisor of 456, 392, 152, 270?

We can find the highest common divisor of 456, 392, 152, 270 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 456, 392, 152, 270 i.e 2.

3. How can I use the GCD of 456, 392, 152, 270Calculator?

Out the numbers 456, 392, 152, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.