GCD of 672, 674, 652, 998 Calculator

Given Input numbers are 672, 674, 652, 998

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

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 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (672, 674, 652, 998) = 2.

Given numbers are 672, 674, 652, 998

The list of prime factors of all numbers are

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

Prime factors of 674 are 2 x 337

Prime factors of 652 are 2 x 2 x 163

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 672, 674, 652, 998 is 2.

Given numbers are 672, 674, 652, 998

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

Apply this formula for all numbers.

Step1:

LCM(672, 674) = 226464

GCD(672, 674) = ( 672 x 674 ) / 226464

= 672 / 674

= 672

Step2:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 672, 674, 652, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 945, 754, 981
• GCD of 261, 224, 659, 845
• GCD of 755, 706, 567, 581
• GCD of 523, 133, 410, 529
• GCD of 144, 660, 696, 916

Given numbers are 672, 674, 652, 998
The greatest common divisor of numbers 672, 674, 652, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 674, 652, 998 is 2.

1. What is the GCD of 672, 674, 652, 998?

GCD of given numbers 672, 674, 652, 998 is 2

2. How to calculate the greatest common divisor of 672, 674, 652, 998?

We can find the highest common divisor of 672, 674, 652, 998 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 672, 674, 652, 998 i.e 2.

3. How can I use the GCD of 672, 674, 652, 998Calculator?

Out the numbers 672, 674, 652, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.