GCD of 428, 672, 998, 416 Calculator

Given Input numbers are 428, 672, 998, 416

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 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

GCD of numbers is the greatest common divisor

So, the GCD (428, 672, 998, 416) = 2.

Given numbers are 428, 672, 998, 416

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 998 are 2 x 499

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 428, 672, 998, 416 is 2.

Given numbers are 428, 672, 998, 416

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

Apply this formula for all numbers.

Step1:

LCM(428, 672) = 71904

GCD(428, 672) = ( 428 x 672 ) / 71904

= 428 / 672

= 428

Step2:

LCM(4, 998) = 1996

GCD(4, 998) = ( 4 x 998 ) / 1996

= 4 / 998

= 4

Step3:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2

So, Greatest Common Divisor of 428, 672, 998, 416 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 883, 432, 188
• GCD of 317, 982, 898, 315
• GCD of 102, 359, 631, 582
• GCD of 678, 531, 660, 994
• GCD of 842, 286, 622, 114

Given numbers are 428, 672, 998, 416
The greatest common divisor of numbers 428, 672, 998, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 672, 998, 416 is 2.

1. What is the GCD of 428, 672, 998, 416?

GCD of given numbers 428, 672, 998, 416 is 2

2. How to calculate the greatest common divisor of 428, 672, 998, 416?

We can find the highest common divisor of 428, 672, 998, 416 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, 672, 998, 416 i.e 2.

3. How can I use the GCD of 428, 672, 998, 416Calculator?

Out the numbers 428, 672, 998, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.