GCD of 880, 876, 840, 698 Calculator

Given Input numbers are 880, 876, 840, 698

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 880, 876, 840, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 876, 840, 698 is 2.

Therefore, GCD of numbers 880, 876, 840, 698 is 2

Given Input Data is 880, 876, 840, 698

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 698 is 2 x 349

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(880, 876) = 192720

GCD(880, 876) = ( 880 x 876 ) / 192720

GCD(880, 876) = 770880 / 192720

GCD(880, 876) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 840

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

LCM(4, 840) = 840

GCD(4, 840) = ( 4 x 840 ) / 840

GCD(4, 840) = 3360 / 840

GCD(4, 840) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 698

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

LCM(4, 698) = 1396

GCD(4, 698) = ( 4 x 698 ) / 1396

GCD(4, 698) = 2792 / 1396

GCD(4, 698) = 2

GCD of 880, 876, 840, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 509, 595, 820
• GCD of 477, 430, 797, 291
• GCD of 974, 160, 548, 242
• GCD of 543, 724, 121, 904
• GCD of 787, 592, 195, 513

1. What is the GCD of 880, 876, 840, 698?

GCD of 880, 876, 840, 698 is 2

2. Where do I get the detailed procedure to find GCD of 880, 876, 840, 698?

You can find a detailed procedure to find GCD of 880, 876, 840, 698 on our page.

3. How to find GCD of 880, 876, 840, 698 on a calculator?

You can find the GCD of 880, 876, 840, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.