GCD of 484, 130, 698, 974 Calculator

Given Input numbers are 484, 130, 698, 974

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

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 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (484, 130, 698, 974) = 2.

Given numbers are 484, 130, 698, 974

The list of prime factors of all numbers are

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

Prime factors of 130 are 2 x 5 x 13

Prime factors of 698 are 2 x 349

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 484, 130, 698, 974 is 2.

Given numbers are 484, 130, 698, 974

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

Apply this formula for all numbers.

Step1:

LCM(484, 130) = 31460

GCD(484, 130) = ( 484 x 130 ) / 31460

= 484 / 130

= 484

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 484, 130, 698, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 277, 467, 818
• GCD of 127, 870, 968, 893
• GCD of 706, 914, 988, 116
• GCD of 600, 574, 635, 306
• GCD of 415, 327, 110, 327

Given numbers are 484, 130, 698, 974
The greatest common divisor of numbers 484, 130, 698, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 130, 698, 974 is 2.

1. What is the GCD of 484, 130, 698, 974?

GCD of given numbers 484, 130, 698, 974 is 2

2. How to calculate the greatest common divisor of 484, 130, 698, 974?

We can find the highest common divisor of 484, 130, 698, 974 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 484, 130, 698, 974 i.e 2.

3. How can I use the GCD of 484, 130, 698, 974Calculator?

Out the numbers 484, 130, 698, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.