GCD of 441, 749, 428, 402 Calculator

Given Input numbers are 441, 749, 428, 402

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

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (441, 749, 428, 402) = 1.

Given numbers are 441, 749, 428, 402

The list of prime factors of all numbers are

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 749 are 7 x 107

Prime factors of 428 are 2 x 2 x 107

Prime factors of 402 are 2 x 3 x 67

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

Given numbers are 441, 749, 428, 402

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

Apply this formula for all numbers.

Step1:

LCM(441, 749) = 47187

GCD(441, 749) = ( 441 x 749 ) / 47187

= 441 / 749

= 441

Step2:

LCM(7, 428) = 2996

GCD(7, 428) = ( 7 x 428 ) / 2996

= 7 / 428

= 7

Step3:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

So, Greatest Common Divisor of 441, 749, 428, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 157, 316, 271
• GCD of 148, 152, 849, 532
• GCD of 593, 869, 969, 156
• GCD of 422, 552, 960, 260
• GCD of 410, 518, 510, 189

Given numbers are 441, 749, 428, 402
The greatest common divisor of numbers 441, 749, 428, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 749, 428, 402 is 1.

1. What is the GCD of 441, 749, 428, 402?

GCD of given numbers 441, 749, 428, 402 is 1

2. How to calculate the greatest common divisor of 441, 749, 428, 402?

We can find the highest common divisor of 441, 749, 428, 402 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 441, 749, 428, 402 i.e 1.

3. How can I use the GCD of 441, 749, 428, 402Calculator?

Out the numbers 441, 749, 428, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.