GCD of 702, 348, 788, 142 Calculator

Given Input numbers are 702, 348, 788, 142

In the factoring method, we have to find the divisors of all numbers

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (702, 348, 788, 142) = 2.

Given numbers are 702, 348, 788, 142

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 788 are 2 x 2 x 197

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 702, 348, 788, 142 is 2.

Given numbers are 702, 348, 788, 142

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(702, 348) = 40716

GCD(702, 348) = ( 702 x 348 ) / 40716

= 702 / 348

= 702

Step2:

LCM(6, 788) = 2364

GCD(6, 788) = ( 6 x 788 ) / 2364

= 6 / 788

= 6

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 702, 348, 788, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 825, 959, 436
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Given numbers are 702, 348, 788, 142
The greatest common divisor of numbers 702, 348, 788, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 348, 788, 142 is 2.

1. What is the GCD of 702, 348, 788, 142?

GCD of given numbers 702, 348, 788, 142 is 2

2. How to calculate the greatest common divisor of 702, 348, 788, 142?

We can find the highest common divisor of 702, 348, 788, 142 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 702, 348, 788, 142 i.e 2.

3. How can I use the GCD of 702, 348, 788, 142Calculator?

Out the numbers 702, 348, 788, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.