GCD of 385, 110, 850, 120 Calculator

Given Input numbers are 385, 110, 850, 120

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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

GCD of numbers is the greatest common divisor

So, the GCD (385, 110, 850, 120) = 5.

Given numbers are 385, 110, 850, 120

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 110 are 2 x 5 x 11

Prime factors of 850 are 2 x 5 x 5 x 17

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

The highest common occurrence is 5¹

Therefore, GCD of 385, 110, 850, 120 is 5.

Given numbers are 385, 110, 850, 120

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

Apply this formula for all numbers.

Step1:

LCM(385, 110) = 770

GCD(385, 110) = ( 385 x 110 ) / 770

= 385 / 110

= 385

Step2:

LCM(55, 850) = 9350

GCD(55, 850) = ( 55 x 850 ) / 9350

= 55 / 850

= 55

Step3:

LCM(5, 120) = 120

GCD(5, 120) = ( 5 x 120 ) / 120

= 5 / 120

= 5

So, Greatest Common Divisor of 385, 110, 850, 120 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 507, 161, 278
• GCD of 840, 586, 228, 789
• GCD of 563, 763, 610, 331
• GCD of 157, 732, 771, 571
• GCD of 287, 242, 364, 507

Given numbers are 385, 110, 850, 120
The greatest common divisor of numbers 385, 110, 850, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 110, 850, 120 is 5.

1. What is the GCD of 385, 110, 850, 120?

GCD of given numbers 385, 110, 850, 120 is 5

2. How to calculate the greatest common divisor of 385, 110, 850, 120?

We can find the highest common divisor of 385, 110, 850, 120 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 385, 110, 850, 120 i.e 5.

3. How can I use the GCD of 385, 110, 850, 120Calculator?

Out the numbers 385, 110, 850, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.