GCD of 722, 280, 604, 340 Calculator

Given Input numbers are 722, 280, 604, 340

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

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

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (722, 280, 604, 340) = 2.

Given numbers are 722, 280, 604, 340

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

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

Prime factors of 604 are 2 x 2 x 151

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 722, 280, 604, 340 is 2.

Given numbers are 722, 280, 604, 340

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

Apply this formula for all numbers.

Step1:

LCM(722, 280) = 101080

GCD(722, 280) = ( 722 x 280 ) / 101080

= 722 / 280

= 722

Step2:

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

= 2 / 604

= 2

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 722, 280, 604, 340 is 2

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• GCD of 833, 789, 690, 372
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Given numbers are 722, 280, 604, 340
The greatest common divisor of numbers 722, 280, 604, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 280, 604, 340 is 2.

1. What is the GCD of 722, 280, 604, 340?

GCD of given numbers 722, 280, 604, 340 is 2

2. How to calculate the greatest common divisor of 722, 280, 604, 340?

We can find the highest common divisor of 722, 280, 604, 340 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 722, 280, 604, 340 i.e 2.

3. How can I use the GCD of 722, 280, 604, 340Calculator?

Out the numbers 722, 280, 604, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.