GCD of 350, 420, 677, 541 Calculator

Given Input numbers are 350, 420, 677, 541

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Greatest Common Divisior

We found the divisors of 350, 420, 677, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 420, 677, 541 is 1.

Therefore, GCD of numbers 350, 420, 677, 541 is 1

Given Input Data is 350, 420, 677, 541

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 677 is 677

Prime Factorization of 541 is 541

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(350, 420) = 2100

GCD(350, 420) = ( 350 x 420 ) / 2100

GCD(350, 420) = 147000 / 2100

GCD(350, 420) = 70

Step2:

Here we consider the GCD from the above i.e. 70 as first number and the next as 677

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

LCM(70, 677) = 47390

GCD(70, 677) = ( 70 x 677 ) / 47390

GCD(70, 677) = 47390 / 47390

GCD(70, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 1

GCD of 350, 420, 677, 541 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 533, 968, 338
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• GCD of 699, 320, 446, 151

1. What is the GCD of 350, 420, 677, 541?

GCD of 350, 420, 677, 541 is 1

2. Where do I get the detailed procedure to find GCD of 350, 420, 677, 541?

You can find a detailed procedure to find GCD of 350, 420, 677, 541 on our page.

3. How to find GCD of 350, 420, 677, 541 on a calculator?

You can find the GCD of 350, 420, 677, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.