GCD of 720, 928, 982, 878 Calculator

Given Input numbers are 720, 928, 982, 878

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

GCD of numbers is the greatest common divisor

So, the GCD (720, 928, 982, 878) = 2.

Given numbers are 720, 928, 982, 878

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 982 are 2 x 491

Prime factors of 878 are 2 x 439

The highest common occurrence is 2¹

Therefore, GCD of 720, 928, 982, 878 is 2.

Given numbers are 720, 928, 982, 878

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

Apply this formula for all numbers.

Step1:

LCM(720, 928) = 41760

GCD(720, 928) = ( 720 x 928 ) / 41760

= 720 / 928

= 720

Step2:

LCM(16, 982) = 7856

GCD(16, 982) = ( 16 x 982 ) / 7856

= 16 / 982

= 16

Step3:

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

= 2 / 878

= 2

So, Greatest Common Divisor of 720, 928, 982, 878 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 138, 567, 282
• GCD of 267, 202, 615, 496
• GCD of 669, 175, 140, 399
• GCD of 955, 757, 787, 968
• GCD of 355, 568, 483, 709

Given numbers are 720, 928, 982, 878
The greatest common divisor of numbers 720, 928, 982, 878 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 928, 982, 878 is 2.

1. What is the GCD of 720, 928, 982, 878?

GCD of given numbers 720, 928, 982, 878 is 2

2. How to calculate the greatest common divisor of 720, 928, 982, 878?

We can find the highest common divisor of 720, 928, 982, 878 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 720, 928, 982, 878 i.e 2.

3. How can I use the GCD of 720, 928, 982, 878Calculator?

Out the numbers 720, 928, 982, 878 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.