GCD of 114, 672, 156, 572 Calculator

Given Input numbers are 114, 672, 156, 572

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (114, 672, 156, 572) = 2.

Given numbers are 114, 672, 156, 572

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 114, 672, 156, 572 is 2.

Given numbers are 114, 672, 156, 572

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

Apply this formula for all numbers.

Step1:

LCM(114, 672) = 12768

GCD(114, 672) = ( 114 x 672 ) / 12768

= 114 / 672

= 114

Step2:

LCM(6, 156) = 156

GCD(6, 156) = ( 6 x 156 ) / 156

= 6 / 156

= 6

Step3:

LCM(6, 572) = 1716

GCD(6, 572) = ( 6 x 572 ) / 1716

= 6 / 572

= 6

So, Greatest Common Divisor of 114, 672, 156, 572 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 474, 165, 475
• GCD of 818, 118, 392, 175
• GCD of 171, 238, 387, 366
• GCD of 830, 642, 349, 207
• GCD of 405, 521, 829, 644

Given numbers are 114, 672, 156, 572
The greatest common divisor of numbers 114, 672, 156, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 672, 156, 572 is 2.

1. What is the GCD of 114, 672, 156, 572?

GCD of given numbers 114, 672, 156, 572 is 2

2. How to calculate the greatest common divisor of 114, 672, 156, 572?

We can find the highest common divisor of 114, 672, 156, 572 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 114, 672, 156, 572 i.e 2.

3. How can I use the GCD of 114, 672, 156, 572Calculator?

Out the numbers 114, 672, 156, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.