GCD of 676, 702, 60, 384 Calculator

Given Input numbers are 676, 702, 60, 384

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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

GCD of numbers is the greatest common divisor

So, the GCD (676, 702, 60, 384) = 2.

Given numbers are 676, 702, 60, 384

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 60 are 2 x 2 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 676, 702, 60, 384 is 2.

Given numbers are 676, 702, 60, 384

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

Apply this formula for all numbers.

Step1:

LCM(676, 702) = 18252

GCD(676, 702) = ( 676 x 702 ) / 18252

= 676 / 702

= 676

Step2:

LCM(26, 60) = 780

GCD(26, 60) = ( 26 x 60 ) / 780

= 26 / 60

= 26

Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 676, 702, 60, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 911, 94, 472
• GCD of 400, 435, 39, 148
• GCD of 577, 614, 23, 856
• GCD of 607, 424, 10, 249
• GCD of 457, 223, 42, 914

Given numbers are 676, 702, 60, 384
The greatest common divisor of numbers 676, 702, 60, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 702, 60, 384 is 2.

1. What is the GCD of 676, 702, 60, 384?

GCD of given numbers 676, 702, 60, 384 is 2

2. How to calculate the greatest common divisor of 676, 702, 60, 384?

We can find the highest common divisor of 676, 702, 60, 384 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 676, 702, 60, 384 i.e 2.

3. How can I use the GCD of 676, 702, 60, 384Calculator?

Out the numbers 676, 702, 60, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.