GCD of 938, 496, 564, 588 Calculator

Given Input numbers are 938, 496, 564, 588

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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

GCD of numbers is the greatest common divisor

So, the GCD (938, 496, 564, 588) = 2.

Given numbers are 938, 496, 564, 588

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 564 are 2 x 2 x 3 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 938, 496, 564, 588 is 2.

Given numbers are 938, 496, 564, 588

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

Apply this formula for all numbers.

Step1:

LCM(938, 496) = 232624

GCD(938, 496) = ( 938 x 496 ) / 232624

= 938 / 496

= 938

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

Step3:

LCM(2, 588) = 588

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

= 2 / 588

= 2

So, Greatest Common Divisor of 938, 496, 564, 588 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 695, 100, 981
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Given numbers are 938, 496, 564, 588
The greatest common divisor of numbers 938, 496, 564, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 496, 564, 588 is 2.

1. What is the GCD of 938, 496, 564, 588?

GCD of given numbers 938, 496, 564, 588 is 2

2. How to calculate the greatest common divisor of 938, 496, 564, 588?

We can find the highest common divisor of 938, 496, 564, 588 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 938, 496, 564, 588 i.e 2.

3. How can I use the GCD of 938, 496, 564, 588Calculator?

Out the numbers 938, 496, 564, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.