GCD of 428, 700, 334, 842 Calculator

Given Input numbers are 428, 700, 334, 842

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (428, 700, 334, 842) = 2.

Given numbers are 428, 700, 334, 842

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 334 are 2 x 167

Prime factors of 842 are 2 x 421

The highest common occurrence is 2¹

Therefore, GCD of 428, 700, 334, 842 is 2.

Given numbers are 428, 700, 334, 842

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

Apply this formula for all numbers.

Step1:

LCM(428, 700) = 74900

GCD(428, 700) = ( 428 x 700 ) / 74900

= 428 / 700

= 428

Step2:

LCM(4, 334) = 668

GCD(4, 334) = ( 4 x 334 ) / 668

= 4 / 334

= 4

Step3:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

So, Greatest Common Divisor of 428, 700, 334, 842 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 461, 996, 843
• GCD of 963, 671, 695, 995
• GCD of 491, 583, 650, 624
• GCD of 304, 452, 904, 137
• GCD of 932, 154, 299, 185

Given numbers are 428, 700, 334, 842
The greatest common divisor of numbers 428, 700, 334, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 700, 334, 842 is 2.

1. What is the GCD of 428, 700, 334, 842?

GCD of given numbers 428, 700, 334, 842 is 2

2. How to calculate the greatest common divisor of 428, 700, 334, 842?

We can find the highest common divisor of 428, 700, 334, 842 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 428, 700, 334, 842 i.e 2.

3. How can I use the GCD of 428, 700, 334, 842Calculator?

Out the numbers 428, 700, 334, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.