GCD of 274, 542, 720, 706 Calculator

Given Input numbers are 274, 542, 720, 706

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 706 :

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

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (274, 542, 720, 706) = 2.

Given numbers are 274, 542, 720, 706

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 542 are 2 x 271

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 706 are 2 x 353

The highest common occurrence is 2¹

Therefore, GCD of 274, 542, 720, 706 is 2.

Given numbers are 274, 542, 720, 706

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

Apply this formula for all numbers.

Step1:

LCM(274, 542) = 74254

GCD(274, 542) = ( 274 x 542 ) / 74254

= 274 / 542

= 274

Step2:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

Step3:

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

= 2 / 706

= 2

So, Greatest Common Divisor of 274, 542, 720, 706 is 2

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Given numbers are 274, 542, 720, 706
The greatest common divisor of numbers 274, 542, 720, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 542, 720, 706 is 2.

1. What is the GCD of 274, 542, 720, 706?

GCD of given numbers 274, 542, 720, 706 is 2

2. How to calculate the greatest common divisor of 274, 542, 720, 706?

We can find the highest common divisor of 274, 542, 720, 706 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 274, 542, 720, 706 i.e 2.

3. How can I use the GCD of 274, 542, 720, 706Calculator?

Out the numbers 274, 542, 720, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.