GCD of 354, 708, 138 Calculator

Given Input numbers are 354, 708, 138

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 (354, 708, 138) = 6.

Given numbers are 354, 708, 138

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 354, 708, 138 is 6.

Given numbers are 354, 708, 138

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

Apply this formula for all numbers.

Step1:

LCM(354, 708) = 708

GCD(354, 708) = ( 354 x 708 ) / 708

= 354 / 708

= 354

Step2:

LCM(354, 138) = 8142

GCD(354, 138) = ( 354 x 138 ) / 8142

= 354 / 138

= 354

So, Greatest Common Divisor of 354, 708, 138 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 577, 435
• GCD of 248, 966, 495
• GCD of 473, 318, 394
• GCD of 137, 519, 933
• GCD of 236, 950, 258

Given numbers are 354, 708, 138
The greatest common divisor of numbers 354, 708, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 708, 138 is 6.

1. What is the GCD of 354, 708, 138?

GCD of given numbers 354, 708, 138 is 6

2. How to calculate the greatest common divisor of 354, 708, 138?

We can find the highest common divisor of 354, 708, 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 354, 708, 138 i.e 6.

3. How can I use the GCD of 354, 708, 138Calculator?

Out the numbers 354, 708, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.