GCD of 396, 352, 70, 746 Calculator

Given Input numbers are 396, 352, 70, 746

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (396, 352, 70, 746) = 2.

Given numbers are 396, 352, 70, 746

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 70 are 2 x 5 x 7

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 396, 352, 70, 746 is 2.

Given numbers are 396, 352, 70, 746

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

Apply this formula for all numbers.

Step1:

LCM(396, 352) = 3168

GCD(396, 352) = ( 396 x 352 ) / 3168

= 396 / 352

= 396

Step2:

LCM(44, 70) = 1540

GCD(44, 70) = ( 44 x 70 ) / 1540

= 44 / 70

= 44

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 396, 352, 70, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 910, 21, 861
• GCD of 661, 591, 43, 282
• GCD of 850, 408, 26, 349
• GCD of 302, 435, 23, 429
• GCD of 260, 971, 93, 936

Given numbers are 396, 352, 70, 746
The greatest common divisor of numbers 396, 352, 70, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 352, 70, 746 is 2.

1. What is the GCD of 396, 352, 70, 746?

GCD of given numbers 396, 352, 70, 746 is 2

2. How to calculate the greatest common divisor of 396, 352, 70, 746?

We can find the highest common divisor of 396, 352, 70, 746 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 396, 352, 70, 746 i.e 2.

3. How can I use the GCD of 396, 352, 70, 746Calculator?

Out the numbers 396, 352, 70, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.