GCD of 168, 260, 596, 714 Calculator

Given Input numbers are 168, 260, 596, 714

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (168, 260, 596, 714) = 2.

Given numbers are 168, 260, 596, 714

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 596 are 2 x 2 x 149

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 168, 260, 596, 714 is 2.

Given numbers are 168, 260, 596, 714

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

Apply this formula for all numbers.

Step1:

LCM(168, 260) = 10920

GCD(168, 260) = ( 168 x 260 ) / 10920

= 168 / 260

= 168

Step2:

LCM(4, 596) = 596

GCD(4, 596) = ( 4 x 596 ) / 596

= 4 / 596

= 4

Step3:

LCM(4, 714) = 1428

GCD(4, 714) = ( 4 x 714 ) / 1428

= 4 / 714

= 4

So, Greatest Common Divisor of 168, 260, 596, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 432, 544, 929
• GCD of 249, 342, 541, 847
• GCD of 538, 256, 253, 606
• GCD of 901, 700, 454, 166
• GCD of 740, 456, 628, 718

Given numbers are 168, 260, 596, 714
The greatest common divisor of numbers 168, 260, 596, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 260, 596, 714 is 2.

1. What is the GCD of 168, 260, 596, 714?

GCD of given numbers 168, 260, 596, 714 is 2

2. How to calculate the greatest common divisor of 168, 260, 596, 714?

We can find the highest common divisor of 168, 260, 596, 714 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 168, 260, 596, 714 i.e 2.

3. How can I use the GCD of 168, 260, 596, 714Calculator?

Out the numbers 168, 260, 596, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.