GCD of 385, 780, 100, 745 Calculator

Given Input numbers are 385, 780, 100, 745

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (385, 780, 100, 745) = 5.

Given numbers are 385, 780, 100, 745

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 745 are 5 x 149

The highest common occurrence is 5¹

Therefore, GCD of 385, 780, 100, 745 is 5.

Given numbers are 385, 780, 100, 745

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

Apply this formula for all numbers.

Step1:

LCM(385, 780) = 60060

GCD(385, 780) = ( 385 x 780 ) / 60060

= 385 / 780

= 385

Step2:

LCM(5, 100) = 100

GCD(5, 100) = ( 5 x 100 ) / 100

= 5 / 100

= 5

Step3:

LCM(5, 745) = 745

GCD(5, 745) = ( 5 x 745 ) / 745

= 5 / 745

= 5

So, Greatest Common Divisor of 385, 780, 100, 745 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 976, 192, 620
• GCD of 985, 861, 260, 149
• GCD of 959, 861, 140, 573
• GCD of 900, 367, 600, 569
• GCD of 280, 142, 549, 654

Given numbers are 385, 780, 100, 745
The greatest common divisor of numbers 385, 780, 100, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 780, 100, 745 is 5.

1. What is the GCD of 385, 780, 100, 745?

GCD of given numbers 385, 780, 100, 745 is 5

2. How to calculate the greatest common divisor of 385, 780, 100, 745?

We can find the highest common divisor of 385, 780, 100, 745 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, 780, 100, 745 i.e 5.

3. How can I use the GCD of 385, 780, 100, 745Calculator?

Out the numbers 385, 780, 100, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.