GCD of 688, 380, 542, 564 Calculator

Given Input numbers are 688, 380, 542, 564

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (688, 380, 542, 564) = 2.

Given numbers are 688, 380, 542, 564

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 542 are 2 x 271

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 688, 380, 542, 564 is 2.

Given numbers are 688, 380, 542, 564

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

Apply this formula for all numbers.

Step1:

LCM(688, 380) = 65360

GCD(688, 380) = ( 688 x 380 ) / 65360

= 688 / 380

= 688

Step2:

LCM(4, 542) = 1084

GCD(4, 542) = ( 4 x 542 ) / 1084

= 4 / 542

= 4

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 688, 380, 542, 564 is 2

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• GCD of 940, 537, 136, 161
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Given numbers are 688, 380, 542, 564
The greatest common divisor of numbers 688, 380, 542, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 380, 542, 564 is 2.

1. What is the GCD of 688, 380, 542, 564?

GCD of given numbers 688, 380, 542, 564 is 2

2. How to calculate the greatest common divisor of 688, 380, 542, 564?

We can find the highest common divisor of 688, 380, 542, 564 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 688, 380, 542, 564 i.e 2.

3. How can I use the GCD of 688, 380, 542, 564Calculator?

Out the numbers 688, 380, 542, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.