GCD of 702, 420, 294, 170 Calculator

Given Input numbers are 702, 420, 294, 170

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

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

GCD of numbers is the greatest common divisor

So, the GCD (702, 420, 294, 170) = 2.

Given numbers are 702, 420, 294, 170

The list of prime factors of all numbers are

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 702, 420, 294, 170 is 2.

Given numbers are 702, 420, 294, 170

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

Apply this formula for all numbers.

Step1:

LCM(702, 420) = 49140

GCD(702, 420) = ( 702 x 420 ) / 49140

= 702 / 420

= 702

Step2:

LCM(6, 294) = 294

GCD(6, 294) = ( 6 x 294 ) / 294

= 6 / 294

= 6

Step3:

LCM(6, 170) = 510

GCD(6, 170) = ( 6 x 170 ) / 510

= 6 / 170

= 6

So, Greatest Common Divisor of 702, 420, 294, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 817, 682, 148
• GCD of 255, 663, 933, 753
• GCD of 320, 391, 160, 794
• GCD of 460, 603, 166, 574
• GCD of 240, 329, 329, 571

Given numbers are 702, 420, 294, 170
The greatest common divisor of numbers 702, 420, 294, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 420, 294, 170 is 2.

1. What is the GCD of 702, 420, 294, 170?

GCD of given numbers 702, 420, 294, 170 is 2

2. How to calculate the greatest common divisor of 702, 420, 294, 170?

We can find the highest common divisor of 702, 420, 294, 170 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 702, 420, 294, 170 i.e 2.

3. How can I use the GCD of 702, 420, 294, 170Calculator?

Out the numbers 702, 420, 294, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.