GCD of 532, 352, 814, 118 Calculator

Given Input numbers are 532, 352, 814, 118

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

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (532, 352, 814, 118) = 2.

Given numbers are 532, 352, 814, 118

The list of prime factors of all numbers are

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

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 814 are 2 x 11 x 37

Prime factors of 118 are 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 532, 352, 814, 118 is 2.

Given numbers are 532, 352, 814, 118

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

Apply this formula for all numbers.

Step1:

LCM(532, 352) = 46816

GCD(532, 352) = ( 532 x 352 ) / 46816

= 532 / 352

= 532

Step2:

LCM(4, 814) = 1628

GCD(4, 814) = ( 4 x 814 ) / 1628

= 4 / 814

= 4

Step3:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

So, Greatest Common Divisor of 532, 352, 814, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 835, 135, 429
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• GCD of 504, 363, 972, 262

Given numbers are 532, 352, 814, 118
The greatest common divisor of numbers 532, 352, 814, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 352, 814, 118 is 2.

1. What is the GCD of 532, 352, 814, 118?

GCD of given numbers 532, 352, 814, 118 is 2

2. How to calculate the greatest common divisor of 532, 352, 814, 118?

We can find the highest common divisor of 532, 352, 814, 118 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 532, 352, 814, 118 i.e 2.

3. How can I use the GCD of 532, 352, 814, 118Calculator?

Out the numbers 532, 352, 814, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.