GCD of 420, 430, 698, 142 Calculator

Given Input numbers are 420, 430, 698, 142

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

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 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (420, 430, 698, 142) = 2.

Given numbers are 420, 430, 698, 142

The list of prime factors of all numbers are

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

Prime factors of 430 are 2 x 5 x 43

Prime factors of 698 are 2 x 349

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 420, 430, 698, 142 is 2.

Given numbers are 420, 430, 698, 142

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

Apply this formula for all numbers.

Step1:

LCM(420, 430) = 18060

GCD(420, 430) = ( 420 x 430 ) / 18060

= 420 / 430

= 420

Step2:

LCM(10, 698) = 3490

GCD(10, 698) = ( 10 x 698 ) / 3490

= 10 / 698

= 10

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 420, 430, 698, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 801, 610, 793
• GCD of 622, 449, 408, 710
• GCD of 128, 315, 943, 166
• GCD of 528, 147, 953, 779
• GCD of 332, 181, 255, 903

Given numbers are 420, 430, 698, 142
The greatest common divisor of numbers 420, 430, 698, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 430, 698, 142 is 2.

1. What is the GCD of 420, 430, 698, 142?

GCD of given numbers 420, 430, 698, 142 is 2

2. How to calculate the greatest common divisor of 420, 430, 698, 142?

We can find the highest common divisor of 420, 430, 698, 142 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 420, 430, 698, 142 i.e 2.

3. How can I use the GCD of 420, 430, 698, 142Calculator?

Out the numbers 420, 430, 698, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.