GCD of 428, 570, 762, 970 Calculator

Given Input numbers are 428, 570, 762, 970

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 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

GCD of numbers is the greatest common divisor

So, the GCD (428, 570, 762, 970) = 2.

Given numbers are 428, 570, 762, 970

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 762 are 2 x 3 x 127

Prime factors of 970 are 2 x 5 x 97

The highest common occurrence is 2¹

Therefore, GCD of 428, 570, 762, 970 is 2.

Given numbers are 428, 570, 762, 970

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

Apply this formula for all numbers.

Step1:

LCM(428, 570) = 121980

GCD(428, 570) = ( 428 x 570 ) / 121980

= 428 / 570

= 428

Step2:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2

Step3:

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

= 2 / 970

= 2

So, Greatest Common Divisor of 428, 570, 762, 970 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 870, 693, 504
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Given numbers are 428, 570, 762, 970
The greatest common divisor of numbers 428, 570, 762, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 570, 762, 970 is 2.

1. What is the GCD of 428, 570, 762, 970?

GCD of given numbers 428, 570, 762, 970 is 2

2. How to calculate the greatest common divisor of 428, 570, 762, 970?

We can find the highest common divisor of 428, 570, 762, 970 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, 570, 762, 970 i.e 2.

3. How can I use the GCD of 428, 570, 762, 970Calculator?

Out the numbers 428, 570, 762, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.