GCD of 320, 608, 620, 742 Calculator

Given Input numbers are 320, 608, 620, 742

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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 (320, 608, 620, 742) = 2.

Given numbers are 320, 608, 620, 742

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 320, 608, 620, 742 is 2.

Given numbers are 320, 608, 620, 742

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

Apply this formula for all numbers.

Step1:

LCM(320, 608) = 6080

GCD(320, 608) = ( 320 x 608 ) / 6080

= 320 / 608

= 320

Step2:

LCM(32, 620) = 4960

GCD(32, 620) = ( 32 x 620 ) / 4960

= 32 / 620

= 32

Step3:

LCM(4, 742) = 1484

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

= 4 / 742

= 4

So, Greatest Common Divisor of 320, 608, 620, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 942, 534, 547
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• GCD of 677, 597, 586, 689

Given numbers are 320, 608, 620, 742
The greatest common divisor of numbers 320, 608, 620, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 608, 620, 742 is 2.

1. What is the GCD of 320, 608, 620, 742?

GCD of given numbers 320, 608, 620, 742 is 2

2. How to calculate the greatest common divisor of 320, 608, 620, 742?

We can find the highest common divisor of 320, 608, 620, 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 320, 608, 620, 742 i.e 2.

3. How can I use the GCD of 320, 608, 620, 742Calculator?

Out the numbers 320, 608, 620, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.