GCD of 700, 584, 361, 270 Calculator

Given Input numbers are 700, 584, 361, 270

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (700, 584, 361, 270) = 1.

Given numbers are 700, 584, 361, 270

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 361 are 19 x 19

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 700, 584, 361, 270

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

Apply this formula for all numbers.

Step1:

LCM(700, 584) = 102200

GCD(700, 584) = ( 700 x 584 ) / 102200

= 700 / 584

= 700

Step2:

LCM(4, 361) = 1444

GCD(4, 361) = ( 4 x 361 ) / 1444

= 4 / 361

= 4

Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

So, Greatest Common Divisor of 700, 584, 361, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 214, 409, 389
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• GCD of 424, 986, 402, 580
• GCD of 276, 779, 820, 225
• GCD of 655, 249, 753, 491

Given numbers are 700, 584, 361, 270
The greatest common divisor of numbers 700, 584, 361, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 584, 361, 270 is 1.

1. What is the GCD of 700, 584, 361, 270?

GCD of given numbers 700, 584, 361, 270 is 1

2. How to calculate the greatest common divisor of 700, 584, 361, 270?

We can find the highest common divisor of 700, 584, 361, 270 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 700, 584, 361, 270 i.e 1.

3. How can I use the GCD of 700, 584, 361, 270Calculator?

Out the numbers 700, 584, 361, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.