GCD of 360, 670, 520, 535 Calculator

Given Input numbers are 360, 670, 520, 535

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

GCD of numbers is the greatest common divisor

So, the GCD (360, 670, 520, 535) = 5.

Given numbers are 360, 670, 520, 535

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 670 are 2 x 5 x 67

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 535 are 5 x 107

The highest common occurrence is 5¹

Therefore, GCD of 360, 670, 520, 535 is 5.

Given numbers are 360, 670, 520, 535

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

Apply this formula for all numbers.

Step1:

LCM(360, 670) = 24120

GCD(360, 670) = ( 360 x 670 ) / 24120

= 360 / 670

= 360

Step2:

LCM(10, 520) = 520

GCD(10, 520) = ( 10 x 520 ) / 520

= 10 / 520

= 10

Step3:

LCM(10, 535) = 1070

GCD(10, 535) = ( 10 x 535 ) / 1070

= 10 / 535

= 10

So, Greatest Common Divisor of 360, 670, 520, 535 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 928, 749, 423
• GCD of 820, 694, 454, 564
• GCD of 633, 485, 261, 215
• GCD of 395, 617, 493, 688
• GCD of 414, 588, 369, 856

Given numbers are 360, 670, 520, 535
The greatest common divisor of numbers 360, 670, 520, 535 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 670, 520, 535 is 5.

1. What is the GCD of 360, 670, 520, 535?

GCD of given numbers 360, 670, 520, 535 is 5

2. How to calculate the greatest common divisor of 360, 670, 520, 535?

We can find the highest common divisor of 360, 670, 520, 535 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 360, 670, 520, 535 i.e 5.

3. How can I use the GCD of 360, 670, 520, 535Calculator?

Out the numbers 360, 670, 520, 535 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.