GCD of 742, 320, 654, 280 Calculator

Given Input numbers are 742, 320, 654, 280

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

Divisors of 742 :

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

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

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 654 :

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

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (742, 320, 654, 280) = 2.

Given numbers are 742, 320, 654, 280

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 654 are 2 x 3 x 109

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 742, 320, 654, 280 is 2.

Given numbers are 742, 320, 654, 280

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

Apply this formula for all numbers.

Step1:

LCM(742, 320) = 118720

GCD(742, 320) = ( 742 x 320 ) / 118720

= 742 / 320

= 742

Step2:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 742, 320, 654, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 146, 886, 343
• GCD of 484, 415, 717, 958
• GCD of 319, 664, 845, 954
• GCD of 822, 909, 235, 862
• GCD of 912, 109, 917, 241

Given numbers are 742, 320, 654, 280
The greatest common divisor of numbers 742, 320, 654, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 320, 654, 280 is 2.

1. What is the GCD of 742, 320, 654, 280?

GCD of given numbers 742, 320, 654, 280 is 2

2. How to calculate the greatest common divisor of 742, 320, 654, 280?

We can find the highest common divisor of 742, 320, 654, 280 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 742, 320, 654, 280 i.e 2.

3. How can I use the GCD of 742, 320, 654, 280Calculator?

Out the numbers 742, 320, 654, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.