GCD of 268, 972, 211, 758 Calculator

Given Input numbers are 268, 972, 211, 758

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 211 :

The positive integer divisors of 211 that completely divides 211 are.

1, 211

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

GCD of numbers is the greatest common divisor

So, the GCD (268, 972, 211, 758) = 1.

Given numbers are 268, 972, 211, 758

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 211 are 211

Prime factors of 758 are 2 x 379

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

Given numbers are 268, 972, 211, 758

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

Apply this formula for all numbers.

Step1:

LCM(268, 972) = 65124

GCD(268, 972) = ( 268 x 972 ) / 65124

= 268 / 972

= 268

Step2:

LCM(4, 211) = 844

GCD(4, 211) = ( 4 x 211 ) / 844

= 4 / 211

= 4

Step3:

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

= 1 / 758

= 1

So, Greatest Common Divisor of 268, 972, 211, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 281, 859, 978
• GCD of 214, 945, 266, 616
• GCD of 932, 513, 941, 928
• GCD of 166, 768, 707, 807
• GCD of 742, 884, 301, 139

Given numbers are 268, 972, 211, 758
The greatest common divisor of numbers 268, 972, 211, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 972, 211, 758 is 1.

1. What is the GCD of 268, 972, 211, 758?

GCD of given numbers 268, 972, 211, 758 is 1

2. How to calculate the greatest common divisor of 268, 972, 211, 758?

We can find the highest common divisor of 268, 972, 211, 758 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, 972, 211, 758 i.e 1.

3. How can I use the GCD of 268, 972, 211, 758Calculator?

Out the numbers 268, 972, 211, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.