GCD of 938, 840, 638, 176 Calculator

Given Input numbers are 938, 840, 638, 176

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

GCD of numbers is the greatest common divisor

So, the GCD (938, 840, 638, 176) = 2.

Given numbers are 938, 840, 638, 176

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 638 are 2 x 11 x 29

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 938, 840, 638, 176 is 2.

Given numbers are 938, 840, 638, 176

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

Apply this formula for all numbers.

Step1:

LCM(938, 840) = 56280

GCD(938, 840) = ( 938 x 840 ) / 56280

= 938 / 840

= 938

Step2:

LCM(14, 638) = 4466

GCD(14, 638) = ( 14 x 638 ) / 4466

= 14 / 638

= 14

Step3:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

So, Greatest Common Divisor of 938, 840, 638, 176 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 148, 102, 460
• GCD of 200, 823, 906, 127
• GCD of 401, 598, 459, 767
• GCD of 709, 219, 285, 723
• GCD of 131, 623, 159, 776

Given numbers are 938, 840, 638, 176
The greatest common divisor of numbers 938, 840, 638, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 840, 638, 176 is 2.

1. What is the GCD of 938, 840, 638, 176?

GCD of given numbers 938, 840, 638, 176 is 2

2. How to calculate the greatest common divisor of 938, 840, 638, 176?

We can find the highest common divisor of 938, 840, 638, 176 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, 840, 638, 176 i.e 2.

3. How can I use the GCD of 938, 840, 638, 176Calculator?

Out the numbers 938, 840, 638, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.