GCD of 142, 832, 70, 692 Calculator

Given Input numbers are 142, 832, 70, 692

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 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 142, 832, 70, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 832, 70, 692 is 2.

Therefore, GCD of numbers 142, 832, 70, 692 is 2

Given Input Data is 142, 832, 70, 692

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 692 is 2 x 2 x 173

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 832) = 59072

GCD(142, 832) = ( 142 x 832 ) / 59072

GCD(142, 832) = 118144 / 59072

GCD(142, 832) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

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

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 692

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

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

GCD(2, 692) = 1384 / 692

GCD(2, 692) = 2

GCD of 142, 832, 70, 692 is 2

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1. What is the GCD of 142, 832, 70, 692?

GCD of 142, 832, 70, 692 is 2

2. Where do I get the detailed procedure to find GCD of 142, 832, 70, 692?

You can find a detailed procedure to find GCD of 142, 832, 70, 692 on our page.

3. How to find GCD of 142, 832, 70, 692 on a calculator?

You can find the GCD of 142, 832, 70, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.