GCD of 428, 949, 507, 514 Calculator

Given Input numbers are 428, 949, 507, 514

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 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

GCD of numbers is the greatest common divisor

So, the GCD (428, 949, 507, 514) = 1.

Given numbers are 428, 949, 507, 514

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 949 are 13 x 73

Prime factors of 507 are 3 x 13 x 13

Prime factors of 514 are 2 x 257

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

Given numbers are 428, 949, 507, 514

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

Apply this formula for all numbers.

Step1:

LCM(428, 949) = 406172

GCD(428, 949) = ( 428 x 949 ) / 406172

= 428 / 949

= 428

Step2:

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

= 1 / 507

= 1

Step3:

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

= 1 / 514

= 1

So, Greatest Common Divisor of 428, 949, 507, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 973, 776, 724
• GCD of 521, 654, 489, 719
• GCD of 493, 853, 823, 589
• GCD of 636, 433, 675, 557
• GCD of 615, 159, 605, 201

Given numbers are 428, 949, 507, 514
The greatest common divisor of numbers 428, 949, 507, 514 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 949, 507, 514 is 1.

1. What is the GCD of 428, 949, 507, 514?

GCD of given numbers 428, 949, 507, 514 is 1

2. How to calculate the greatest common divisor of 428, 949, 507, 514?

We can find the highest common divisor of 428, 949, 507, 514 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, 949, 507, 514 i.e 1.

3. How can I use the GCD of 428, 949, 507, 514Calculator?

Out the numbers 428, 949, 507, 514 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.