GCD of 780, 100, 738, 848 Calculator

Given Input numbers are 780, 100, 738, 848

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

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

GCD of numbers is the greatest common divisor

So, the GCD (780, 100, 738, 848) = 2.

Given numbers are 780, 100, 738, 848

The list of prime factors of all numbers are

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 738 are 2 x 3 x 3 x 41

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 780, 100, 738, 848 is 2.

Given numbers are 780, 100, 738, 848

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

Apply this formula for all numbers.

Step1:

LCM(780, 100) = 3900

GCD(780, 100) = ( 780 x 100 ) / 3900

= 780 / 100

= 780

Step2:

LCM(20, 738) = 7380

GCD(20, 738) = ( 20 x 738 ) / 7380

= 20 / 738

= 20

Step3:

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

= 2 / 848

= 2

So, Greatest Common Divisor of 780, 100, 738, 848 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 247, 857, 817
• GCD of 833, 420, 763, 800
• GCD of 375, 395, 922, 357
• GCD of 383, 457, 745, 787
• GCD of 730, 642, 275, 355

Given numbers are 780, 100, 738, 848
The greatest common divisor of numbers 780, 100, 738, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 100, 738, 848 is 2.

1. What is the GCD of 780, 100, 738, 848?

GCD of given numbers 780, 100, 738, 848 is 2

2. How to calculate the greatest common divisor of 780, 100, 738, 848?

We can find the highest common divisor of 780, 100, 738, 848 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 780, 100, 738, 848 i.e 2.

3. How can I use the GCD of 780, 100, 738, 848Calculator?

Out the numbers 780, 100, 738, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.