GCD of 700, 290, 506, 550 Calculator

Given Input numbers are 700, 290, 506, 550

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 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (700, 290, 506, 550) = 2.

Given numbers are 700, 290, 506, 550

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 290 are 2 x 5 x 29

Prime factors of 506 are 2 x 11 x 23

Prime factors of 550 are 2 x 5 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 700, 290, 506, 550 is 2.

Given numbers are 700, 290, 506, 550

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

Apply this formula for all numbers.

Step1:

LCM(700, 290) = 20300

GCD(700, 290) = ( 700 x 290 ) / 20300

= 700 / 290

= 700

Step2:

LCM(10, 506) = 2530

GCD(10, 506) = ( 10 x 506 ) / 2530

= 10 / 506

= 10

Step3:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

So, Greatest Common Divisor of 700, 290, 506, 550 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 774, 668, 562
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• GCD of 976, 327, 134, 191
• GCD of 716, 179, 794, 221
• GCD of 657, 948, 927, 665

Given numbers are 700, 290, 506, 550
The greatest common divisor of numbers 700, 290, 506, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 290, 506, 550 is 2.

1. What is the GCD of 700, 290, 506, 550?

GCD of given numbers 700, 290, 506, 550 is 2

2. How to calculate the greatest common divisor of 700, 290, 506, 550?

We can find the highest common divisor of 700, 290, 506, 550 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, 290, 506, 550 i.e 2.

3. How can I use the GCD of 700, 290, 506, 550Calculator?

Out the numbers 700, 290, 506, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.