GCD of 478, 654, 742 Calculator

Given Input numbers are 478, 654, 742

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

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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 (478, 654, 742) = 2.

Given numbers are 478, 654, 742

The list of prime factors of all numbers are

Prime factors of 478 are 2 x 239

Prime factors of 654 are 2 x 3 x 109

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 478, 654, 742 is 2.

Given numbers are 478, 654, 742

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

Apply this formula for all numbers.

Step1:

LCM(478, 654) = 156306

GCD(478, 654) = ( 478 x 654 ) / 156306

= 478 / 654

= 478

Step2:

LCM(2, 742) = 742

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

= 2 / 742

= 2

So, Greatest Common Divisor of 478, 654, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 160, 620
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• GCD of 659, 562, 477

Given numbers are 478, 654, 742
The greatest common divisor of numbers 478, 654, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 654, 742 is 2.

1. What is the GCD of 478, 654, 742?

GCD of given numbers 478, 654, 742 is 2

2. How to calculate the greatest common divisor of 478, 654, 742?

We can find the highest common divisor of 478, 654, 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 478, 654, 742 i.e 2.

3. How can I use the GCD of 478, 654, 742Calculator?

Out the numbers 478, 654, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.