GCD of 428, 538, 761, 434 Calculator

Given Input numbers are 428, 538, 761, 434

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

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (428, 538, 761, 434) = 1.

Given numbers are 428, 538, 761, 434

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 538 are 2 x 269

Prime factors of 761 are 761

Prime factors of 434 are 2 x 7 x 31

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

Given numbers are 428, 538, 761, 434

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

Apply this formula for all numbers.

Step1:

LCM(428, 538) = 115132

GCD(428, 538) = ( 428 x 538 ) / 115132

= 428 / 538

= 428

Step2:

LCM(2, 761) = 1522

GCD(2, 761) = ( 2 x 761 ) / 1522

= 2 / 761

= 2

Step3:

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

= 1 / 434

= 1

So, Greatest Common Divisor of 428, 538, 761, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 332, 166, 733
• GCD of 846, 560, 848, 536
• GCD of 297, 902, 690, 314
• GCD of 634, 165, 952, 750
• GCD of 692, 829, 595, 788

Given numbers are 428, 538, 761, 434
The greatest common divisor of numbers 428, 538, 761, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 538, 761, 434 is 1.

1. What is the GCD of 428, 538, 761, 434?

GCD of given numbers 428, 538, 761, 434 is 1

2. How to calculate the greatest common divisor of 428, 538, 761, 434?

We can find the highest common divisor of 428, 538, 761, 434 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 428, 538, 761, 434 i.e 1.

3. How can I use the GCD of 428, 538, 761, 434Calculator?

Out the numbers 428, 538, 761, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.