GCD of 238, 762, 702, 102 Calculator

Given Input numbers are 238, 762, 702, 102

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

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 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (238, 762, 702, 102) = 2.

Given numbers are 238, 762, 702, 102

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 762 are 2 x 3 x 127

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

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 238, 762, 702, 102 is 2.

Given numbers are 238, 762, 702, 102

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

Apply this formula for all numbers.

Step1:

LCM(238, 762) = 90678

GCD(238, 762) = ( 238 x 762 ) / 90678

= 238 / 762

= 238

Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

Step3:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2

So, Greatest Common Divisor of 238, 762, 702, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 113, 946, 520
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Given numbers are 238, 762, 702, 102
The greatest common divisor of numbers 238, 762, 702, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 762, 702, 102 is 2.

1. What is the GCD of 238, 762, 702, 102?

GCD of given numbers 238, 762, 702, 102 is 2

2. How to calculate the greatest common divisor of 238, 762, 702, 102?

We can find the highest common divisor of 238, 762, 702, 102 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 238, 762, 702, 102 i.e 2.

3. How can I use the GCD of 238, 762, 702, 102Calculator?

Out the numbers 238, 762, 702, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.