GCD of 760, 972, 67, 890 Calculator

Given Input numbers are 760, 972, 67, 890

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 760, 972, 67, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 972, 67, 890 is 1.

Therefore, GCD of numbers 760, 972, 67, 890 is 1

Given Input Data is 760, 972, 67, 890

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 67 is 67

Prime Factorization of 890 is 2 x 5 x 89

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(760, 972) = 184680

GCD(760, 972) = ( 760 x 972 ) / 184680

GCD(760, 972) = 738720 / 184680

GCD(760, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 67

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

LCM(4, 67) = 268

GCD(4, 67) = ( 4 x 67 ) / 268

GCD(4, 67) = 268 / 268

GCD(4, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 760, 972, 67, 890 is 1

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1. What is the GCD of 760, 972, 67, 890?

GCD of 760, 972, 67, 890 is 1

2. Where do I get the detailed procedure to find GCD of 760, 972, 67, 890?

You can find a detailed procedure to find GCD of 760, 972, 67, 890 on our page.

3. How to find GCD of 760, 972, 67, 890 on a calculator?

You can find the GCD of 760, 972, 67, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.