GCD of 942, 620, 758, 705 Calculator

Given Input numbers are 942, 620, 758, 705

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 942, 620, 758, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 620, 758, 705 is 1.

Therefore, GCD of numbers 942, 620, 758, 705 is 1

Given Input Data is 942, 620, 758, 705

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 758 is 2 x 379

Prime Factorization of 705 is 3 x 5 x 47

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(942, 620) = 292020

GCD(942, 620) = ( 942 x 620 ) / 292020

GCD(942, 620) = 584040 / 292020

GCD(942, 620) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 705

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

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

GCD(2, 705) = 1410 / 1410

GCD(2, 705) = 1

GCD of 942, 620, 758, 705 is 1

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1. What is the GCD of 942, 620, 758, 705?

GCD of 942, 620, 758, 705 is 1

2. Where do I get the detailed procedure to find GCD of 942, 620, 758, 705?

You can find a detailed procedure to find GCD of 942, 620, 758, 705 on our page.

3. How to find GCD of 942, 620, 758, 705 on a calculator?

You can find the GCD of 942, 620, 758, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.