GCD of 378, 932, 612, 688 Calculator

Given Input numbers are 378, 932, 612, 688

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (378, 932, 612, 688) = 2.

Given numbers are 378, 932, 612, 688

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 932 are 2 x 2 x 233

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 378, 932, 612, 688 is 2.

Given numbers are 378, 932, 612, 688

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

Apply this formula for all numbers.

Step1:

LCM(378, 932) = 176148

GCD(378, 932) = ( 378 x 932 ) / 176148

= 378 / 932

= 378

Step2:

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

= 2 / 612

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 378, 932, 612, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 697, 196, 657
• GCD of 163, 542, 310, 755
• GCD of 271, 489, 800, 655
• GCD of 967, 171, 239, 463
• GCD of 187, 465, 196, 231

Given numbers are 378, 932, 612, 688
The greatest common divisor of numbers 378, 932, 612, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 932, 612, 688 is 2.

1. What is the GCD of 378, 932, 612, 688?

GCD of given numbers 378, 932, 612, 688 is 2

2. How to calculate the greatest common divisor of 378, 932, 612, 688?

We can find the highest common divisor of 378, 932, 612, 688 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 378, 932, 612, 688 i.e 2.

3. How can I use the GCD of 378, 932, 612, 688Calculator?

Out the numbers 378, 932, 612, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.