GCD of 358, 722, 828, 922 Calculator

Given Input numbers are 358, 722, 828, 922

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

GCD of numbers is the greatest common divisor

So, the GCD (358, 722, 828, 922) = 2.

Given numbers are 358, 722, 828, 922

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 722 are 2 x 19 x 19

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 922 are 2 x 461

The highest common occurrence is 2¹

Therefore, GCD of 358, 722, 828, 922 is 2.

Given numbers are 358, 722, 828, 922

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

Apply this formula for all numbers.

Step1:

LCM(358, 722) = 129238

GCD(358, 722) = ( 358 x 722 ) / 129238

= 358 / 722

= 358

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

= 2 / 922

= 2

So, Greatest Common Divisor of 358, 722, 828, 922 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 682, 493, 957
• GCD of 925, 619, 378, 781
• GCD of 688, 297, 583, 857
• GCD of 706, 976, 319, 156
• GCD of 966, 808, 791, 411

Given numbers are 358, 722, 828, 922
The greatest common divisor of numbers 358, 722, 828, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 722, 828, 922 is 2.

1. What is the GCD of 358, 722, 828, 922?

GCD of given numbers 358, 722, 828, 922 is 2

2. How to calculate the greatest common divisor of 358, 722, 828, 922?

We can find the highest common divisor of 358, 722, 828, 922 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 358, 722, 828, 922 i.e 2.

3. How can I use the GCD of 358, 722, 828, 922Calculator?

Out the numbers 358, 722, 828, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.