GCD of 660, 948, 364, 726 Calculator

Given Input numbers are 660, 948, 364, 726

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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

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

GCD of numbers is the greatest common divisor

So, the GCD (660, 948, 364, 726) = 2.

Given numbers are 660, 948, 364, 726

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 948 are 2 x 2 x 3 x 79

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

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

The highest common occurrence is 2¹

Therefore, GCD of 660, 948, 364, 726 is 2.

Given numbers are 660, 948, 364, 726

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

Apply this formula for all numbers.

Step1:

LCM(660, 948) = 52140

GCD(660, 948) = ( 660 x 948 ) / 52140

= 660 / 948

= 660

Step2:

LCM(12, 364) = 1092

GCD(12, 364) = ( 12 x 364 ) / 1092

= 12 / 364

= 12

Step3:

LCM(4, 726) = 1452

GCD(4, 726) = ( 4 x 726 ) / 1452

= 4 / 726

= 4

So, Greatest Common Divisor of 660, 948, 364, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 734, 171, 616
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• GCD of 291, 523, 409, 166
• GCD of 287, 364, 344, 329
• GCD of 804, 517, 315, 812

Given numbers are 660, 948, 364, 726
The greatest common divisor of numbers 660, 948, 364, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 948, 364, 726 is 2.

1. What is the GCD of 660, 948, 364, 726?

GCD of given numbers 660, 948, 364, 726 is 2

2. How to calculate the greatest common divisor of 660, 948, 364, 726?

We can find the highest common divisor of 660, 948, 364, 726 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 660, 948, 364, 726 i.e 2.

3. How can I use the GCD of 660, 948, 364, 726Calculator?

Out the numbers 660, 948, 364, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.