GCD of 104, 452, 742 Calculator

Given Input numbers are 104, 452, 742

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (104, 452, 742) = 2.

Given numbers are 104, 452, 742

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 452 are 2 x 2 x 113

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 104, 452, 742 is 2.

Given numbers are 104, 452, 742

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

Apply this formula for all numbers.

Step1:

LCM(104, 452) = 11752

GCD(104, 452) = ( 104 x 452 ) / 11752

= 104 / 452

= 104

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4

So, Greatest Common Divisor of 104, 452, 742 is 2

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• GCD of 145, 577, 964
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Given numbers are 104, 452, 742
The greatest common divisor of numbers 104, 452, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 452, 742 is 2.

1. What is the GCD of 104, 452, 742?

GCD of given numbers 104, 452, 742 is 2

2. How to calculate the greatest common divisor of 104, 452, 742?

We can find the highest common divisor of 104, 452, 742 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 104, 452, 742 i.e 2.

3. How can I use the GCD of 104, 452, 742Calculator?

Out the numbers 104, 452, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.