GCD of 796, 692, 628, 354 Calculator

Given Input numbers are 796, 692, 628, 354

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (796, 692, 628, 354) = 2.

Given numbers are 796, 692, 628, 354

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 692 are 2 x 2 x 173

Prime factors of 628 are 2 x 2 x 157

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 796, 692, 628, 354 is 2.

Given numbers are 796, 692, 628, 354

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

Apply this formula for all numbers.

Step1:

LCM(796, 692) = 137708

GCD(796, 692) = ( 796 x 692 ) / 137708

= 796 / 692

= 796

Step2:

LCM(4, 628) = 628

GCD(4, 628) = ( 4 x 628 ) / 628

= 4 / 628

= 4

Step3:

LCM(4, 354) = 708

GCD(4, 354) = ( 4 x 354 ) / 708

= 4 / 354

= 4

So, Greatest Common Divisor of 796, 692, 628, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 580, 115, 620
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• GCD of 425, 627, 861, 773

Given numbers are 796, 692, 628, 354
The greatest common divisor of numbers 796, 692, 628, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 692, 628, 354 is 2.

1. What is the GCD of 796, 692, 628, 354?

GCD of given numbers 796, 692, 628, 354 is 2

2. How to calculate the greatest common divisor of 796, 692, 628, 354?

We can find the highest common divisor of 796, 692, 628, 354 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 796, 692, 628, 354 i.e 2.

3. How can I use the GCD of 796, 692, 628, 354Calculator?

Out the numbers 796, 692, 628, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.