GCD of 372, 838, 588, 972 Calculator

Given Input numbers are 372, 838, 588, 972

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (372, 838, 588, 972) = 2.

Given numbers are 372, 838, 588, 972

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 838 are 2 x 419

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 372, 838, 588, 972 is 2.

Given numbers are 372, 838, 588, 972

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

Apply this formula for all numbers.

Step1:

LCM(372, 838) = 155868

GCD(372, 838) = ( 372 x 838 ) / 155868

= 372 / 838

= 372

Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 372, 838, 588, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 593, 491, 969
• GCD of 801, 152, 211, 382
• GCD of 504, 967, 558, 174
• GCD of 756, 891, 383, 144
• GCD of 682, 250, 696, 727

Given numbers are 372, 838, 588, 972
The greatest common divisor of numbers 372, 838, 588, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 838, 588, 972 is 2.

1. What is the GCD of 372, 838, 588, 972?

GCD of given numbers 372, 838, 588, 972 is 2

2. How to calculate the greatest common divisor of 372, 838, 588, 972?

We can find the highest common divisor of 372, 838, 588, 972 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 372, 838, 588, 972 i.e 2.

3. How can I use the GCD of 372, 838, 588, 972Calculator?

Out the numbers 372, 838, 588, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.