GCD of 675, 408, 700, 998 Calculator

Given Input numbers are 675, 408, 700, 998

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 (675, 408, 700, 998) = 1.

Given numbers are 675, 408, 700, 998

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 998 are 2 x 499

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

Given numbers are 675, 408, 700, 998

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

Apply this formula for all numbers.

Step1:

LCM(675, 408) = 91800

GCD(675, 408) = ( 675 x 408 ) / 91800

= 675 / 408

= 675

Step2:

LCM(3, 700) = 2100

GCD(3, 700) = ( 3 x 700 ) / 2100

= 3 / 700

= 3

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 675, 408, 700, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 309, 113, 458
• GCD of 385, 630, 855, 558
• GCD of 651, 877, 834, 865
• GCD of 948, 780, 995, 827
• GCD of 300, 480, 506, 681

Given numbers are 675, 408, 700, 998
The greatest common divisor of numbers 675, 408, 700, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 408, 700, 998 is 1.

1. What is the GCD of 675, 408, 700, 998?

GCD of given numbers 675, 408, 700, 998 is 1

2. How to calculate the greatest common divisor of 675, 408, 700, 998?

We can find the highest common divisor of 675, 408, 700, 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 675, 408, 700, 998 i.e 1.

3. How can I use the GCD of 675, 408, 700, 998Calculator?

Out the numbers 675, 408, 700, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.