GCD of 974, 384, 706, 480 Calculator

Given Input numbers are 974, 384, 706, 480

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

Divisors of 974 :

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

1, 2, 487, 974

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (974, 384, 706, 480) = 2.

Given numbers are 974, 384, 706, 480

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 706 are 2 x 353

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 974, 384, 706, 480 is 2.

Given numbers are 974, 384, 706, 480

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

Apply this formula for all numbers.

Step1:

LCM(974, 384) = 187008

GCD(974, 384) = ( 974 x 384 ) / 187008

= 974 / 384

= 974

Step2:

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

= 2 / 706

= 2

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 974, 384, 706, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 696, 349, 812
• GCD of 922, 131, 249, 929
• GCD of 308, 308, 283, 275
• GCD of 122, 771, 938, 730
• GCD of 237, 115, 166, 387

Given numbers are 974, 384, 706, 480
The greatest common divisor of numbers 974, 384, 706, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 384, 706, 480 is 2.

1. What is the GCD of 974, 384, 706, 480?

GCD of given numbers 974, 384, 706, 480 is 2

2. How to calculate the greatest common divisor of 974, 384, 706, 480?

We can find the highest common divisor of 974, 384, 706, 480 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 974, 384, 706, 480 i.e 2.

3. How can I use the GCD of 974, 384, 706, 480Calculator?

Out the numbers 974, 384, 706, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.