GCD of 428, 760, 540, 532 Calculator

Given Input numbers are 428, 760, 540, 532

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

GCD of numbers is the greatest common divisor

So, the GCD (428, 760, 540, 532) = 4.

Given numbers are 428, 760, 540, 532

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 532 are 2 x 2 x 7 x 19

The highest common occurrence is 2²

Therefore, GCD of 428, 760, 540, 532 is 4.

Given numbers are 428, 760, 540, 532

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

Apply this formula for all numbers.

Step1:

LCM(428, 760) = 81320

GCD(428, 760) = ( 428 x 760 ) / 81320

= 428 / 760

= 428

Step2:

LCM(4, 540) = 540

GCD(4, 540) = ( 4 x 540 ) / 540

= 4 / 540

= 4

Step3:

LCM(4, 532) = 532

GCD(4, 532) = ( 4 x 532 ) / 532

= 4 / 532

= 4

So, Greatest Common Divisor of 428, 760, 540, 532 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 114, 733, 493
• GCD of 685, 136, 476, 959
• GCD of 824, 513, 698, 635
• GCD of 905, 980, 496, 750
• GCD of 141, 912, 947, 738

Given numbers are 428, 760, 540, 532
The greatest common divisor of numbers 428, 760, 540, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 760, 540, 532 is 4.

1. What is the GCD of 428, 760, 540, 532?

GCD of given numbers 428, 760, 540, 532 is 4

2. How to calculate the greatest common divisor of 428, 760, 540, 532?

We can find the highest common divisor of 428, 760, 540, 532 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, 760, 540, 532 i.e 4.

3. How can I use the GCD of 428, 760, 540, 532Calculator?

Out the numbers 428, 760, 540, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.