GCD of 680, 168, 414, 374 Calculator

Given Input numbers are 680, 168, 414, 374

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (680, 168, 414, 374) = 2.

Given numbers are 680, 168, 414, 374

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 680, 168, 414, 374 is 2.

Given numbers are 680, 168, 414, 374

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

Apply this formula for all numbers.

Step1:

LCM(680, 168) = 14280

GCD(680, 168) = ( 680 x 168 ) / 14280

= 680 / 168

= 680

Step2:

LCM(8, 414) = 1656

GCD(8, 414) = ( 8 x 414 ) / 1656

= 8 / 414

= 8

Step3:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

So, Greatest Common Divisor of 680, 168, 414, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 128, 425, 395
• GCD of 872, 154, 901, 504
• GCD of 524, 855, 265, 278
• GCD of 635, 781, 103, 626
• GCD of 794, 402, 266, 662

Given numbers are 680, 168, 414, 374
The greatest common divisor of numbers 680, 168, 414, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 168, 414, 374 is 2.

1. What is the GCD of 680, 168, 414, 374?

GCD of given numbers 680, 168, 414, 374 is 2

2. How to calculate the greatest common divisor of 680, 168, 414, 374?

We can find the highest common divisor of 680, 168, 414, 374 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 680, 168, 414, 374 i.e 2.

3. How can I use the GCD of 680, 168, 414, 374Calculator?

Out the numbers 680, 168, 414, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.