GCD of 120, 360, 550, 705 Calculator

Given Input numbers are 120, 360, 550, 705

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 550 :

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

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (120, 360, 550, 705) = 5.

Given numbers are 120, 360, 550, 705

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

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

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 5¹

Therefore, GCD of 120, 360, 550, 705 is 5.

Given numbers are 120, 360, 550, 705

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

Apply this formula for all numbers.

Step1:

LCM(120, 360) = 360

GCD(120, 360) = ( 120 x 360 ) / 360

= 120 / 360

= 120

Step2:

LCM(120, 550) = 6600

GCD(120, 550) = ( 120 x 550 ) / 6600

= 120 / 550

= 120

Step3:

LCM(10, 705) = 1410

GCD(10, 705) = ( 10 x 705 ) / 1410

= 10 / 705

= 10

So, Greatest Common Divisor of 120, 360, 550, 705 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 337, 575, 707
• GCD of 945, 720, 957, 768
• GCD of 896, 818, 296, 273
• GCD of 371, 699, 863, 335
• GCD of 414, 113, 596, 690

Given numbers are 120, 360, 550, 705
The greatest common divisor of numbers 120, 360, 550, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 360, 550, 705 is 5.

1. What is the GCD of 120, 360, 550, 705?

GCD of given numbers 120, 360, 550, 705 is 5

2. How to calculate the greatest common divisor of 120, 360, 550, 705?

We can find the highest common divisor of 120, 360, 550, 705 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 120, 360, 550, 705 i.e 5.

3. How can I use the GCD of 120, 360, 550, 705Calculator?

Out the numbers 120, 360, 550, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.