GCD of 670, 208, 70, 414 Calculator

Given Input numbers are 670, 208, 70, 414

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

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

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

GCD of numbers is the greatest common divisor

So, the GCD (670, 208, 70, 414) = 2.

Given numbers are 670, 208, 70, 414

The list of prime factors of all numbers are

Prime factors of 670 are 2 x 5 x 67

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 70 are 2 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 670, 208, 70, 414 is 2.

Given numbers are 670, 208, 70, 414

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

Apply this formula for all numbers.

Step1:

LCM(670, 208) = 69680

GCD(670, 208) = ( 670 x 208 ) / 69680

= 670 / 208

= 670

Step2:

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

= 2 / 70

= 2

Step3:

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

= 2 / 414

= 2

So, Greatest Common Divisor of 670, 208, 70, 414 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 397, 61, 434
• GCD of 584, 175, 80, 204
• GCD of 274, 641, 91, 800
• GCD of 333, 256, 99, 796
• GCD of 766, 216, 12, 698

Given numbers are 670, 208, 70, 414
The greatest common divisor of numbers 670, 208, 70, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 208, 70, 414 is 2.

1. What is the GCD of 670, 208, 70, 414?

GCD of given numbers 670, 208, 70, 414 is 2

2. How to calculate the greatest common divisor of 670, 208, 70, 414?

We can find the highest common divisor of 670, 208, 70, 414 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 670, 208, 70, 414 i.e 2.

3. How can I use the GCD of 670, 208, 70, 414Calculator?

Out the numbers 670, 208, 70, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.