GCD of 354, 652, 364, 772 Calculator

Given Input numbers are 354, 652, 364, 772

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

Divisors of 354 :

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

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

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (354, 652, 364, 772) = 2.

Given numbers are 354, 652, 364, 772

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 652 are 2 x 2 x 163

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 354, 652, 364, 772 is 2.

Given numbers are 354, 652, 364, 772

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

Apply this formula for all numbers.

Step1:

LCM(354, 652) = 115404

GCD(354, 652) = ( 354 x 652 ) / 115404

= 354 / 652

= 354

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

So, Greatest Common Divisor of 354, 652, 364, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 294, 624, 942
• GCD of 884, 114, 636, 141
• GCD of 365, 511, 244, 585
• GCD of 206, 421, 199, 937
• GCD of 964, 222, 347, 633

Given numbers are 354, 652, 364, 772
The greatest common divisor of numbers 354, 652, 364, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 652, 364, 772 is 2.

1. What is the GCD of 354, 652, 364, 772?

GCD of given numbers 354, 652, 364, 772 is 2

2. How to calculate the greatest common divisor of 354, 652, 364, 772?

We can find the highest common divisor of 354, 652, 364, 772 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 354, 652, 364, 772 i.e 2.

3. How can I use the GCD of 354, 652, 364, 772Calculator?

Out the numbers 354, 652, 364, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.