GCD of 138, 768, 710, 476 Calculator

Given Input numbers are 138, 768, 710, 476

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (138, 768, 710, 476) = 2.

Given numbers are 138, 768, 710, 476

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 710 are 2 x 5 x 71

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 138, 768, 710, 476 is 2.

Given numbers are 138, 768, 710, 476

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

Apply this formula for all numbers.

Step1:

LCM(138, 768) = 17664

GCD(138, 768) = ( 138 x 768 ) / 17664

= 138 / 768

= 138

Step2:

LCM(6, 710) = 2130

GCD(6, 710) = ( 6 x 710 ) / 2130

= 6 / 710

= 6

Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

So, Greatest Common Divisor of 138, 768, 710, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 923, 708, 678
• GCD of 189, 255, 175, 917
• GCD of 791, 729, 384, 138
• GCD of 857, 683, 880, 399
• GCD of 880, 802, 972, 987

Given numbers are 138, 768, 710, 476
The greatest common divisor of numbers 138, 768, 710, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 768, 710, 476 is 2.

1. What is the GCD of 138, 768, 710, 476?

GCD of given numbers 138, 768, 710, 476 is 2

2. How to calculate the greatest common divisor of 138, 768, 710, 476?

We can find the highest common divisor of 138, 768, 710, 476 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, 768, 710, 476 i.e 2.

3. How can I use the GCD of 138, 768, 710, 476Calculator?

Out the numbers 138, 768, 710, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.