GCD of 142, 754, 35, 954 Calculator

Given Input numbers are 142, 754, 35, 954

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 142, 754, 35, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 754, 35, 954 is 1.

Therefore, GCD of numbers 142, 754, 35, 954 is 1

Given Input Data is 142, 754, 35, 954

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 35 is 5 x 7

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(142, 754) = 53534

GCD(142, 754) = ( 142 x 754 ) / 53534

GCD(142, 754) = 107068 / 53534

GCD(142, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 142, 754, 35, 954 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 847, 50, 766
• GCD of 651, 960, 30, 990
• GCD of 783, 144, 36, 608
• GCD of 317, 285, 18, 962
• GCD of 351, 662, 57, 209

1. What is the GCD of 142, 754, 35, 954?

GCD of 142, 754, 35, 954 is 1

2. Where do I get the detailed procedure to find GCD of 142, 754, 35, 954?

You can find a detailed procedure to find GCD of 142, 754, 35, 954 on our page.

3. How to find GCD of 142, 754, 35, 954 on a calculator?

You can find the GCD of 142, 754, 35, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.