GCD of 998, 752, 770, 446 Calculator

Given Input numbers are 998, 752, 770, 446

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

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

GCD of numbers is the greatest common divisor

So, the GCD (998, 752, 770, 446) = 2.

Given numbers are 998, 752, 770, 446

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 446 are 2 x 223

The highest common occurrence is 2¹

Therefore, GCD of 998, 752, 770, 446 is 2.

Given numbers are 998, 752, 770, 446

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

Apply this formula for all numbers.

Step1:

LCM(998, 752) = 375248

GCD(998, 752) = ( 998 x 752 ) / 375248

= 998 / 752

= 998

Step2:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2

Step3:

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

= 2 / 446

= 2

So, Greatest Common Divisor of 998, 752, 770, 446 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 987, 978, 584
• GCD of 496, 786, 434, 530
• GCD of 365, 840, 774, 141
• GCD of 479, 288, 258, 205
• GCD of 842, 635, 527, 201

Given numbers are 998, 752, 770, 446
The greatest common divisor of numbers 998, 752, 770, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 752, 770, 446 is 2.

1. What is the GCD of 998, 752, 770, 446?

GCD of given numbers 998, 752, 770, 446 is 2

2. How to calculate the greatest common divisor of 998, 752, 770, 446?

We can find the highest common divisor of 998, 752, 770, 446 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 998, 752, 770, 446 i.e 2.

3. How can I use the GCD of 998, 752, 770, 446Calculator?

Out the numbers 998, 752, 770, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.