GCD of 992, 484, 980, 574 Calculator

Given Input numbers are 992, 484, 980, 574

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (992, 484, 980, 574) = 2.

Given numbers are 992, 484, 980, 574

The list of prime factors of all numbers are

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 574 are 2 x 7 x 41

The highest common occurrence is 2¹

Therefore, GCD of 992, 484, 980, 574 is 2.

Given numbers are 992, 484, 980, 574

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

Apply this formula for all numbers.

Step1:

LCM(992, 484) = 120032

GCD(992, 484) = ( 992 x 484 ) / 120032

= 992 / 484

= 992

Step2:

LCM(4, 980) = 980

GCD(4, 980) = ( 4 x 980 ) / 980

= 4 / 980

= 4

Step3:

LCM(4, 574) = 1148

GCD(4, 574) = ( 4 x 574 ) / 1148

= 4 / 574

= 4

So, Greatest Common Divisor of 992, 484, 980, 574 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 616, 222, 985
• GCD of 267, 363, 238, 847
• GCD of 192, 542, 170, 306
• GCD of 909, 385, 123, 328
• GCD of 926, 560, 110, 217

Given numbers are 992, 484, 980, 574
The greatest common divisor of numbers 992, 484, 980, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 484, 980, 574 is 2.

1. What is the GCD of 992, 484, 980, 574?

GCD of given numbers 992, 484, 980, 574 is 2

2. How to calculate the greatest common divisor of 992, 484, 980, 574?

We can find the highest common divisor of 992, 484, 980, 574 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 992, 484, 980, 574 i.e 2.

3. How can I use the GCD of 992, 484, 980, 574Calculator?

Out the numbers 992, 484, 980, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.