GCD of 354, 525, 722, 428 Calculator

Given Input numbers are 354, 525, 722, 428

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 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 722 :

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

1, 2, 19, 38, 361, 722

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (354, 525, 722, 428) = 1.

Given numbers are 354, 525, 722, 428

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 722 are 2 x 19 x 19

Prime factors of 428 are 2 x 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 354, 525, 722, 428

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

Apply this formula for all numbers.

Step1:

LCM(354, 525) = 61950

GCD(354, 525) = ( 354 x 525 ) / 61950

= 354 / 525

= 354

Step2:

LCM(3, 722) = 2166

GCD(3, 722) = ( 3 x 722 ) / 2166

= 3 / 722

= 3

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 354, 525, 722, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 328, 708, 628
• GCD of 472, 415, 663, 258
• GCD of 113, 792, 542, 743
• GCD of 225, 993, 118, 883
• GCD of 961, 691, 611, 156

Given numbers are 354, 525, 722, 428
The greatest common divisor of numbers 354, 525, 722, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 525, 722, 428 is 1.

1. What is the GCD of 354, 525, 722, 428?

GCD of given numbers 354, 525, 722, 428 is 1

2. How to calculate the greatest common divisor of 354, 525, 722, 428?

We can find the highest common divisor of 354, 525, 722, 428 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, 525, 722, 428 i.e 1.

3. How can I use the GCD of 354, 525, 722, 428Calculator?

Out the numbers 354, 525, 722, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.