GCD of 738, 690, 70, 277 Calculator

Given Input numbers are 738, 690, 70, 277

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 738, 690, 70, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 690, 70, 277 is 1.

Therefore, GCD of numbers 738, 690, 70, 277 is 1

Given Input Data is 738, 690, 70, 277

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 277 is 277

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(738, 690) = 84870

GCD(738, 690) = ( 738 x 690 ) / 84870

GCD(738, 690) = 509220 / 84870

GCD(738, 690) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 70

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

LCM(6, 70) = 210

GCD(6, 70) = ( 6 x 70 ) / 210

GCD(6, 70) = 420 / 210

GCD(6, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 277

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

LCM(2, 277) = 554

GCD(2, 277) = ( 2 x 277 ) / 554

GCD(2, 277) = 554 / 554

GCD(2, 277) = 1

GCD of 738, 690, 70, 277 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 963, 36, 863
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• GCD of 386, 584, 60, 973
• GCD of 485, 460, 31, 177

1. What is the GCD of 738, 690, 70, 277?

GCD of 738, 690, 70, 277 is 1

2. Where do I get the detailed procedure to find GCD of 738, 690, 70, 277?

You can find a detailed procedure to find GCD of 738, 690, 70, 277 on our page.

3. How to find GCD of 738, 690, 70, 277 on a calculator?

You can find the GCD of 738, 690, 70, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.