GCD of 111, 138, 588, 672 Calculator

Given Input numbers are 111, 138, 588, 672

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

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 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

GCD of numbers is the greatest common divisor

So, the GCD (111, 138, 588, 672) = 3.

Given numbers are 111, 138, 588, 672

The list of prime factors of all numbers are

Prime factors of 111 are 3 x 37

Prime factors of 138 are 2 x 3 x 23

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

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

The highest common occurrence is 3¹

Therefore, GCD of 111, 138, 588, 672 is 3.

Given numbers are 111, 138, 588, 672

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

Apply this formula for all numbers.

Step1:

LCM(111, 138) = 5106

GCD(111, 138) = ( 111 x 138 ) / 5106

= 111 / 138

= 111

Step2:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

Step3:

LCM(3, 672) = 672

GCD(3, 672) = ( 3 x 672 ) / 672

= 3 / 672

= 3

So, Greatest Common Divisor of 111, 138, 588, 672 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 363, 502, 159
• GCD of 212, 228, 552, 437
• GCD of 869, 510, 280, 173
• GCD of 163, 971, 196, 271
• GCD of 548, 520, 463, 939

Given numbers are 111, 138, 588, 672
The greatest common divisor of numbers 111, 138, 588, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 138, 588, 672 is 3.

1. What is the GCD of 111, 138, 588, 672?

GCD of given numbers 111, 138, 588, 672 is 3

2. How to calculate the greatest common divisor of 111, 138, 588, 672?

We can find the highest common divisor of 111, 138, 588, 672 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 111, 138, 588, 672 i.e 3.

3. How can I use the GCD of 111, 138, 588, 672Calculator?

Out the numbers 111, 138, 588, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.