GCD of 532, 946, 574, 138 Calculator

Given Input numbers are 532, 946, 574, 138

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 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 574 :

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

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (532, 946, 574, 138) = 2.

Given numbers are 532, 946, 574, 138

The list of prime factors of all numbers are

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

Prime factors of 946 are 2 x 11 x 43

Prime factors of 574 are 2 x 7 x 41

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 532, 946, 574, 138 is 2.

Given numbers are 532, 946, 574, 138

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

Apply this formula for all numbers.

Step1:

LCM(532, 946) = 251636

GCD(532, 946) = ( 532 x 946 ) / 251636

= 532 / 946

= 532

Step2:

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

= 2 / 574

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 532, 946, 574, 138 is 2

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• GCD of 543, 868, 786, 743
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Given numbers are 532, 946, 574, 138
The greatest common divisor of numbers 532, 946, 574, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 946, 574, 138 is 2.

1. What is the GCD of 532, 946, 574, 138?

GCD of given numbers 532, 946, 574, 138 is 2

2. How to calculate the greatest common divisor of 532, 946, 574, 138?

We can find the highest common divisor of 532, 946, 574, 138 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, 946, 574, 138 i.e 2.

3. How can I use the GCD of 532, 946, 574, 138Calculator?

Out the numbers 532, 946, 574, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.