GCD of 428, 302, 672, 988 Calculator

Given Input numbers are 428, 302, 672, 988

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 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (428, 302, 672, 988) = 2.

Given numbers are 428, 302, 672, 988

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 302 are 2 x 151

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

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 428, 302, 672, 988 is 2.

Given numbers are 428, 302, 672, 988

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

Apply this formula for all numbers.

Step1:

LCM(428, 302) = 64628

GCD(428, 302) = ( 428 x 302 ) / 64628

= 428 / 302

= 428

Step2:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

So, Greatest Common Divisor of 428, 302, 672, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 771, 509, 981
• GCD of 762, 172, 736, 677
• GCD of 991, 464, 362, 321
• GCD of 426, 532, 222, 155
• GCD of 315, 748, 142, 298

Given numbers are 428, 302, 672, 988
The greatest common divisor of numbers 428, 302, 672, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 302, 672, 988 is 2.

1. What is the GCD of 428, 302, 672, 988?

GCD of given numbers 428, 302, 672, 988 is 2

2. How to calculate the greatest common divisor of 428, 302, 672, 988?

We can find the highest common divisor of 428, 302, 672, 988 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, 302, 672, 988 i.e 2.

3. How can I use the GCD of 428, 302, 672, 988Calculator?

Out the numbers 428, 302, 672, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.