GCD of 428, 624, 880, 104 Calculator

Given Input numbers are 428, 624, 880, 104

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

GCD of numbers is the greatest common divisor

So, the GCD (428, 624, 880, 104) = 4.

Given numbers are 428, 624, 880, 104

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 104 are 2 x 2 x 2 x 13

The highest common occurrence is 2²

Therefore, GCD of 428, 624, 880, 104 is 4.

Given numbers are 428, 624, 880, 104

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

Apply this formula for all numbers.

Step1:

LCM(428, 624) = 66768

GCD(428, 624) = ( 428 x 624 ) / 66768

= 428 / 624

= 428

Step2:

LCM(4, 880) = 880

GCD(4, 880) = ( 4 x 880 ) / 880

= 4 / 880

= 4

Step3:

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

= 4 / 104

= 4

So, Greatest Common Divisor of 428, 624, 880, 104 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 701, 758, 774
• GCD of 637, 903, 500, 701
• GCD of 102, 454, 131, 724
• GCD of 624, 769, 753, 347
• GCD of 170, 439, 269, 189

Given numbers are 428, 624, 880, 104
The greatest common divisor of numbers 428, 624, 880, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 624, 880, 104 is 4.

1. What is the GCD of 428, 624, 880, 104?

GCD of given numbers 428, 624, 880, 104 is 4

2. How to calculate the greatest common divisor of 428, 624, 880, 104?

We can find the highest common divisor of 428, 624, 880, 104 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, 624, 880, 104 i.e 4.

3. How can I use the GCD of 428, 624, 880, 104Calculator?

Out the numbers 428, 624, 880, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.