GCD of 268, 747, 872, 840 Calculator

Given Input numbers are 268, 747, 872, 840

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (268, 747, 872, 840) = 1.

Given numbers are 268, 747, 872, 840

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 747 are 3 x 3 x 83

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 268, 747, 872, 840

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

Apply this formula for all numbers.

Step1:

LCM(268, 747) = 200196

GCD(268, 747) = ( 268 x 747 ) / 200196

= 268 / 747

= 268

Step2:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

Step3:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1

So, Greatest Common Divisor of 268, 747, 872, 840 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 724, 378, 153
• GCD of 539, 898, 232, 834
• GCD of 469, 682, 818, 528
• GCD of 341, 542, 251, 212
• GCD of 403, 402, 440, 852

Given numbers are 268, 747, 872, 840
The greatest common divisor of numbers 268, 747, 872, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 747, 872, 840 is 1.

1. What is the GCD of 268, 747, 872, 840?

GCD of given numbers 268, 747, 872, 840 is 1

2. How to calculate the greatest common divisor of 268, 747, 872, 840?

We can find the highest common divisor of 268, 747, 872, 840 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 268, 747, 872, 840 i.e 1.

3. How can I use the GCD of 268, 747, 872, 840Calculator?

Out the numbers 268, 747, 872, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.