GCD of 138, 948, 906 Calculator

Given Input numbers are 138, 948, 906

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

Divisors of 138 :

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

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

GCD of numbers is the greatest common divisor

So, the GCD (138, 948, 906) = 6.

Given numbers are 138, 948, 906

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 906 are 2 x 3 x 151

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 138, 948, 906 is 6.

Given numbers are 138, 948, 906

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

Apply this formula for all numbers.

Step1:

LCM(138, 948) = 21804

GCD(138, 948) = ( 138 x 948 ) / 21804

= 138 / 948

= 138

Step2:

LCM(6, 906) = 906

GCD(6, 906) = ( 6 x 906 ) / 906

= 6 / 906

= 6

So, Greatest Common Divisor of 138, 948, 906 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 141, 485
• GCD of 220, 953, 365
• GCD of 412, 316, 914
• GCD of 544, 248, 100
• GCD of 414, 196, 350

Given numbers are 138, 948, 906
The greatest common divisor of numbers 138, 948, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 948, 906 is 6.

1. What is the GCD of 138, 948, 906?

GCD of given numbers 138, 948, 906 is 6

2. How to calculate the greatest common divisor of 138, 948, 906?

We can find the highest common divisor of 138, 948, 906 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 138, 948, 906 i.e 6.

3. How can I use the GCD of 138, 948, 906Calculator?

Out the numbers 138, 948, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.