GCD of 768, 974, 704, 616 Calculator

Given Input numbers are 768, 974, 704, 616

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 974 :

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

1, 2, 487, 974

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (768, 974, 704, 616) = 2.

Given numbers are 768, 974, 704, 616

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 974 are 2 x 487

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 768, 974, 704, 616 is 2.

Given numbers are 768, 974, 704, 616

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

Apply this formula for all numbers.

Step1:

LCM(768, 974) = 374016

GCD(768, 974) = ( 768 x 974 ) / 374016

= 768 / 974

= 768

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

Step3:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

So, Greatest Common Divisor of 768, 974, 704, 616 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 706, 148, 154
• GCD of 757, 483, 398, 276
• GCD of 304, 376, 687, 101
• GCD of 663, 404, 974, 965
• GCD of 192, 942, 841, 701

Given numbers are 768, 974, 704, 616
The greatest common divisor of numbers 768, 974, 704, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 974, 704, 616 is 2.

1. What is the GCD of 768, 974, 704, 616?

GCD of given numbers 768, 974, 704, 616 is 2

2. How to calculate the greatest common divisor of 768, 974, 704, 616?

We can find the highest common divisor of 768, 974, 704, 616 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 768, 974, 704, 616 i.e 2.

3. How can I use the GCD of 768, 974, 704, 616Calculator?

Out the numbers 768, 974, 704, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.