GCD of 678, 412, 938, 948 Calculator

Given Input numbers are 678, 412, 938, 948

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 938 :

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

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (678, 412, 938, 948) = 2.

Given numbers are 678, 412, 938, 948

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 412 are 2 x 2 x 103

Prime factors of 938 are 2 x 7 x 67

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 678, 412, 938, 948 is 2.

Given numbers are 678, 412, 938, 948

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

Apply this formula for all numbers.

Step1:

LCM(678, 412) = 139668

GCD(678, 412) = ( 678 x 412 ) / 139668

= 678 / 412

= 678

Step2:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

Step3:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2

So, Greatest Common Divisor of 678, 412, 938, 948 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 474, 335, 187
• GCD of 802, 692, 306, 724
• GCD of 155, 442, 656, 724
• GCD of 252, 731, 397, 926
• GCD of 180, 658, 156, 497

Given numbers are 678, 412, 938, 948
The greatest common divisor of numbers 678, 412, 938, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 412, 938, 948 is 2.

1. What is the GCD of 678, 412, 938, 948?

GCD of given numbers 678, 412, 938, 948 is 2

2. How to calculate the greatest common divisor of 678, 412, 938, 948?

We can find the highest common divisor of 678, 412, 938, 948 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 678, 412, 938, 948 i.e 2.

3. How can I use the GCD of 678, 412, 938, 948Calculator?

Out the numbers 678, 412, 938, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.