GCD of 880, 140, 870, 284 Calculator

Given Input numbers are 880, 140, 870, 284

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

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (880, 140, 870, 284) = 2.

Given numbers are 880, 140, 870, 284

The list of prime factors of all numbers are

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 880, 140, 870, 284 is 2.

Given numbers are 880, 140, 870, 284

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

Apply this formula for all numbers.

Step1:

LCM(880, 140) = 6160

GCD(880, 140) = ( 880 x 140 ) / 6160

= 880 / 140

= 880

Step2:

LCM(20, 870) = 1740

GCD(20, 870) = ( 20 x 870 ) / 1740

= 20 / 870

= 20

Step3:

LCM(10, 284) = 1420

GCD(10, 284) = ( 10 x 284 ) / 1420

= 10 / 284

= 10

So, Greatest Common Divisor of 880, 140, 870, 284 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 761, 779, 187
• GCD of 825, 352, 190, 345
• GCD of 705, 480, 884, 200
• GCD of 426, 156, 694, 579
• GCD of 528, 694, 717, 283

Given numbers are 880, 140, 870, 284
The greatest common divisor of numbers 880, 140, 870, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 140, 870, 284 is 2.

1. What is the GCD of 880, 140, 870, 284?

GCD of given numbers 880, 140, 870, 284 is 2

2. How to calculate the greatest common divisor of 880, 140, 870, 284?

We can find the highest common divisor of 880, 140, 870, 284 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 880, 140, 870, 284 i.e 2.

3. How can I use the GCD of 880, 140, 870, 284Calculator?

Out the numbers 880, 140, 870, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.