GCD of 770, 938, 86, 103 Calculator

Given Input numbers are 770, 938, 86, 103

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 770, 938, 86, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 938, 86, 103 is 1.

Therefore, GCD of numbers 770, 938, 86, 103 is 1

Given Input Data is 770, 938, 86, 103

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 86 is 2 x 43

Prime Factorization of 103 is 103

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(770, 938) = 51590

GCD(770, 938) = ( 770 x 938 ) / 51590

GCD(770, 938) = 722260 / 51590

GCD(770, 938) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 86

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

LCM(14, 86) = 602

GCD(14, 86) = ( 14 x 86 ) / 602

GCD(14, 86) = 1204 / 602

GCD(14, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 103

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

LCM(2, 103) = 206

GCD(2, 103) = ( 2 x 103 ) / 206

GCD(2, 103) = 206 / 206

GCD(2, 103) = 1

GCD of 770, 938, 86, 103 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 736, 34, 600
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• GCD of 580, 416, 69, 286
• GCD of 916, 964, 96, 653
• GCD of 914, 273, 54, 802

1. What is the GCD of 770, 938, 86, 103?

GCD of 770, 938, 86, 103 is 1

2. Where do I get the detailed procedure to find GCD of 770, 938, 86, 103?

You can find a detailed procedure to find GCD of 770, 938, 86, 103 on our page.

3. How to find GCD of 770, 938, 86, 103 on a calculator?

You can find the GCD of 770, 938, 86, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.