GCD of 376, 598, 138, 282 Calculator

Given Input numbers are 376, 598, 138, 282

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

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 138 :

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

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

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (376, 598, 138, 282) = 2.

Given numbers are 376, 598, 138, 282

The list of prime factors of all numbers are

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 598 are 2 x 13 x 23

Prime factors of 138 are 2 x 3 x 23

Prime factors of 282 are 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 376, 598, 138, 282 is 2.

Given numbers are 376, 598, 138, 282

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

Apply this formula for all numbers.

Step1:

LCM(376, 598) = 112424

GCD(376, 598) = ( 376 x 598 ) / 112424

= 376 / 598

= 376

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

= 2 / 282

= 2

So, Greatest Common Divisor of 376, 598, 138, 282 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 154, 804, 781
• GCD of 331, 467, 156, 996
• GCD of 375, 123, 551, 451
• GCD of 504, 813, 435, 516
• GCD of 890, 899, 805, 790

Given numbers are 376, 598, 138, 282
The greatest common divisor of numbers 376, 598, 138, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 598, 138, 282 is 2.

1. What is the GCD of 376, 598, 138, 282?

GCD of given numbers 376, 598, 138, 282 is 2

2. How to calculate the greatest common divisor of 376, 598, 138, 282?

We can find the highest common divisor of 376, 598, 138, 282 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 376, 598, 138, 282 i.e 2.

3. How can I use the GCD of 376, 598, 138, 282Calculator?

Out the numbers 376, 598, 138, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.