GCD of 574, 896, 428, 702 Calculator

Given Input numbers are 574, 896, 428, 702

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

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

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

GCD of numbers is the greatest common divisor

So, the GCD (574, 896, 428, 702) = 2.

Given numbers are 574, 896, 428, 702

The list of prime factors of all numbers are

Prime factors of 574 are 2 x 7 x 41

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 428 are 2 x 2 x 107

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

The highest common occurrence is 2¹

Therefore, GCD of 574, 896, 428, 702 is 2.

Given numbers are 574, 896, 428, 702

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

Apply this formula for all numbers.

Step1:

LCM(574, 896) = 36736

GCD(574, 896) = ( 574 x 896 ) / 36736

= 574 / 896

= 574

Step2:

LCM(14, 428) = 2996

GCD(14, 428) = ( 14 x 428 ) / 2996

= 14 / 428

= 14

Step3:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

So, Greatest Common Divisor of 574, 896, 428, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 272, 749, 143
• GCD of 451, 130, 342, 473
• GCD of 948, 955, 572, 851
• GCD of 176, 382, 282, 952
• GCD of 510, 362, 122, 322

Given numbers are 574, 896, 428, 702
The greatest common divisor of numbers 574, 896, 428, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 896, 428, 702 is 2.

1. What is the GCD of 574, 896, 428, 702?

GCD of given numbers 574, 896, 428, 702 is 2

2. How to calculate the greatest common divisor of 574, 896, 428, 702?

We can find the highest common divisor of 574, 896, 428, 702 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 574, 896, 428, 702 i.e 2.

3. How can I use the GCD of 574, 896, 428, 702Calculator?

Out the numbers 574, 896, 428, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.