GCD of 374, 880, 678, 826 Calculator

Given Input numbers are 374, 880, 678, 826

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (374, 880, 678, 826) = 2.

Given numbers are 374, 880, 678, 826

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

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

Prime factors of 678 are 2 x 3 x 113

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 374, 880, 678, 826 is 2.

Given numbers are 374, 880, 678, 826

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

Apply this formula for all numbers.

Step1:

LCM(374, 880) = 14960

GCD(374, 880) = ( 374 x 880 ) / 14960

= 374 / 880

= 374

Step2:

LCM(22, 678) = 7458

GCD(22, 678) = ( 22 x 678 ) / 7458

= 22 / 678

= 22

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 374, 880, 678, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 919, 774, 586
• GCD of 965, 481, 465, 849
• GCD of 569, 639, 959, 125
• GCD of 338, 825, 397, 950
• GCD of 709, 466, 977, 611

Given numbers are 374, 880, 678, 826
The greatest common divisor of numbers 374, 880, 678, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 880, 678, 826 is 2.

1. What is the GCD of 374, 880, 678, 826?

GCD of given numbers 374, 880, 678, 826 is 2

2. How to calculate the greatest common divisor of 374, 880, 678, 826?

We can find the highest common divisor of 374, 880, 678, 826 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 374, 880, 678, 826 i.e 2.

3. How can I use the GCD of 374, 880, 678, 826Calculator?

Out the numbers 374, 880, 678, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.