GCD of 658, 726, 878, 364 Calculator

Given Input numbers are 658, 726, 878, 364

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 878 :

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

1, 2, 439, 878

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (658, 726, 878, 364) = 2.

Given numbers are 658, 726, 878, 364

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 878 are 2 x 439

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 658, 726, 878, 364 is 2.

Given numbers are 658, 726, 878, 364

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

Apply this formula for all numbers.

Step1:

LCM(658, 726) = 238854

GCD(658, 726) = ( 658 x 726 ) / 238854

= 658 / 726

= 658

Step2:

LCM(2, 878) = 878

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

= 2 / 878

= 2

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 658, 726, 878, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 895, 722, 196
• GCD of 723, 426, 994, 911
• GCD of 262, 902, 587, 194
• GCD of 789, 218, 787, 602
• GCD of 922, 967, 428, 909

Given numbers are 658, 726, 878, 364
The greatest common divisor of numbers 658, 726, 878, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 726, 878, 364 is 2.

1. What is the GCD of 658, 726, 878, 364?

GCD of given numbers 658, 726, 878, 364 is 2

2. How to calculate the greatest common divisor of 658, 726, 878, 364?

We can find the highest common divisor of 658, 726, 878, 364 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 658, 726, 878, 364 i.e 2.

3. How can I use the GCD of 658, 726, 878, 364Calculator?

Out the numbers 658, 726, 878, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.