GCD of 105, 210, 171, 138 Calculator

Given Input numbers are 105, 210, 171, 138

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (105, 210, 171, 138) = 3.

Given numbers are 105, 210, 171, 138

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 171 are 3 x 3 x 19

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 105, 210, 171, 138 is 3.

Given numbers are 105, 210, 171, 138

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

Apply this formula for all numbers.

Step1:

LCM(105, 210) = 210

GCD(105, 210) = ( 105 x 210 ) / 210

= 105 / 210

= 105

Step2:

LCM(105, 171) = 5985

GCD(105, 171) = ( 105 x 171 ) / 5985

= 105 / 171

= 105

Step3:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

So, Greatest Common Divisor of 105, 210, 171, 138 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 612, 969, 945
• GCD of 772, 230, 364, 601
• GCD of 823, 187, 213, 659
• GCD of 144, 932, 926, 251
• GCD of 544, 347, 694, 400

Given numbers are 105, 210, 171, 138
The greatest common divisor of numbers 105, 210, 171, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 210, 171, 138 is 3.

1. What is the GCD of 105, 210, 171, 138?

GCD of given numbers 105, 210, 171, 138 is 3

2. How to calculate the greatest common divisor of 105, 210, 171, 138?

We can find the highest common divisor of 105, 210, 171, 138 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 105, 210, 171, 138 i.e 3.

3. How can I use the GCD of 105, 210, 171, 138Calculator?

Out the numbers 105, 210, 171, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.