GCD of 472, 706, 742 Calculator

Given Input numbers are 472, 706, 742

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

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 (472, 706, 742) = 2.

Given numbers are 472, 706, 742

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 706 are 2 x 353

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 472, 706, 742 is 2.

Given numbers are 472, 706, 742

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

Apply this formula for all numbers.

Step1:

LCM(472, 706) = 166616

GCD(472, 706) = ( 472 x 706 ) / 166616

= 472 / 706

= 472

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 472, 706, 742 is 2

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• GCD of 669, 383, 850
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Given numbers are 472, 706, 742
The greatest common divisor of numbers 472, 706, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 706, 742 is 2.

1. What is the GCD of 472, 706, 742?

GCD of given numbers 472, 706, 742 is 2

2. How to calculate the greatest common divisor of 472, 706, 742?

We can find the highest common divisor of 472, 706, 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 472, 706, 742 i.e 2.

3. How can I use the GCD of 472, 706, 742Calculator?

Out the numbers 472, 706, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.