GCD of 688, 852, 971, 134 Calculator

Given Input numbers are 688, 852, 971, 134

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 971

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

1, 971

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 688, 852, 971, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 852, 971, 134 is 1.

Therefore, GCD of numbers 688, 852, 971, 134 is 1

Given Input Data is 688, 852, 971, 134

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 971 is 971

Prime Factorization of 134 is 2 x 67

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(688, 852) = 146544

GCD(688, 852) = ( 688 x 852 ) / 146544

GCD(688, 852) = 586176 / 146544

GCD(688, 852) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 971

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

LCM(4, 971) = 3884

GCD(4, 971) = ( 4 x 971 ) / 3884

GCD(4, 971) = 3884 / 3884

GCD(4, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 688, 852, 971, 134 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 492, 651, 730
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• GCD of 952, 341, 704, 104
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• GCD of 396, 766, 751, 155

1. What is the GCD of 688, 852, 971, 134?

GCD of 688, 852, 971, 134 is 1

2. Where do I get the detailed procedure to find GCD of 688, 852, 971, 134?

You can find a detailed procedure to find GCD of 688, 852, 971, 134 on our page.

3. How to find GCD of 688, 852, 971, 134 on a calculator?

You can find the GCD of 688, 852, 971, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.