GCD of 756, 490, 972, 998 Calculator

Given Input numbers are 756, 490, 972, 998

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 (756, 490, 972, 998) = 2.

Given numbers are 756, 490, 972, 998

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 756, 490, 972, 998 is 2.

Given numbers are 756, 490, 972, 998

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

Apply this formula for all numbers.

Step1:

LCM(756, 490) = 26460

GCD(756, 490) = ( 756 x 490 ) / 26460

= 756 / 490

= 756

Step2:

LCM(14, 972) = 6804

GCD(14, 972) = ( 14 x 972 ) / 6804

= 14 / 972

= 14

Step3:

LCM(2, 998) = 998

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

= 2 / 998

= 2

So, Greatest Common Divisor of 756, 490, 972, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 962, 166, 313
• GCD of 999, 315, 700, 318
• GCD of 781, 323, 435, 784
• GCD of 123, 656, 540, 375
• GCD of 685, 795, 868, 749

Given numbers are 756, 490, 972, 998
The greatest common divisor of numbers 756, 490, 972, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 490, 972, 998 is 2.

1. What is the GCD of 756, 490, 972, 998?

GCD of given numbers 756, 490, 972, 998 is 2

2. How to calculate the greatest common divisor of 756, 490, 972, 998?

We can find the highest common divisor of 756, 490, 972, 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 756, 490, 972, 998 i.e 2.

3. How can I use the GCD of 756, 490, 972, 998Calculator?

Out the numbers 756, 490, 972, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.