GCD of 102, 740, 712, 342 Calculator

Given Input numbers are 102, 740, 712, 342

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

Divisors of 102 :

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

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (102, 740, 712, 342) = 2.

Given numbers are 102, 740, 712, 342

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 102, 740, 712, 342 is 2.

Given numbers are 102, 740, 712, 342

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

Apply this formula for all numbers.

Step1:

LCM(102, 740) = 37740

GCD(102, 740) = ( 102 x 740 ) / 37740

= 102 / 740

= 102

Step2:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 102, 740, 712, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 789, 501, 646
• GCD of 621, 561, 215, 375
• GCD of 387, 477, 254, 626
• GCD of 641, 595, 925, 645
• GCD of 566, 304, 822, 714

Given numbers are 102, 740, 712, 342
The greatest common divisor of numbers 102, 740, 712, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 740, 712, 342 is 2.

1. What is the GCD of 102, 740, 712, 342?

GCD of given numbers 102, 740, 712, 342 is 2

2. How to calculate the greatest common divisor of 102, 740, 712, 342?

We can find the highest common divisor of 102, 740, 712, 342 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 102, 740, 712, 342 i.e 2.

3. How can I use the GCD of 102, 740, 712, 342Calculator?

Out the numbers 102, 740, 712, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.