GCD of 914, 971, 987, 207 Calculator

Given Input numbers are 914, 971, 987, 207

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 914, 971, 987, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 971, 987, 207 is 1.

Therefore, GCD of numbers 914, 971, 987, 207 is 1

Given Input Data is 914, 971, 987, 207

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 971 is 971

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 207 is 3 x 3 x 23

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(914, 971) = 887494

GCD(914, 971) = ( 914 x 971 ) / 887494

GCD(914, 971) = 887494 / 887494

GCD(914, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 914, 971, 987, 207 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 698, 191, 305
• GCD of 327, 990, 620, 794
• GCD of 938, 931, 907, 836
• GCD of 402, 450, 394, 187
• GCD of 487, 650, 518, 503

1. What is the GCD of 914, 971, 987, 207?

GCD of 914, 971, 987, 207 is 1

2. Where do I get the detailed procedure to find GCD of 914, 971, 987, 207?

You can find a detailed procedure to find GCD of 914, 971, 987, 207 on our page.

3. How to find GCD of 914, 971, 987, 207 on a calculator?

You can find the GCD of 914, 971, 987, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.