GCD of 756, 603, 726, 870 Calculator

Given Input numbers are 756, 603, 726, 870

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 603 :

The positive integer divisors of 603 that completely divides 603 are.

1, 3, 9, 67, 201, 603

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 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

GCD of numbers is the greatest common divisor

So, the GCD (756, 603, 726, 870) = 3.

Given numbers are 756, 603, 726, 870

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 603 are 3 x 3 x 67

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

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

The highest common occurrence is 3¹

Therefore, GCD of 756, 603, 726, 870 is 3.

Given numbers are 756, 603, 726, 870

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

Apply this formula for all numbers.

Step1:

LCM(756, 603) = 50652

GCD(756, 603) = ( 756 x 603 ) / 50652

= 756 / 603

= 756

Step2:

LCM(9, 726) = 2178

GCD(9, 726) = ( 9 x 726 ) / 2178

= 9 / 726

= 9

Step3:

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

= 3 / 870

= 3

So, Greatest Common Divisor of 756, 603, 726, 870 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 238, 995, 891
• GCD of 677, 638, 367, 230
• GCD of 880, 766, 347, 281
• GCD of 203, 942, 992, 148
• GCD of 938, 687, 529, 393

Given numbers are 756, 603, 726, 870
The greatest common divisor of numbers 756, 603, 726, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 603, 726, 870 is 3.

1. What is the GCD of 756, 603, 726, 870?

GCD of given numbers 756, 603, 726, 870 is 3

2. How to calculate the greatest common divisor of 756, 603, 726, 870?

We can find the highest common divisor of 756, 603, 726, 870 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 756, 603, 726, 870 i.e 3.

3. How can I use the GCD of 756, 603, 726, 870Calculator?

Out the numbers 756, 603, 726, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.