GCD of 742, 690, 228, 340 Calculator

Given Input numbers are 742, 690, 228, 340

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (742, 690, 228, 340) = 2.

Given numbers are 742, 690, 228, 340

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 742, 690, 228, 340 is 2.

Given numbers are 742, 690, 228, 340

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

Apply this formula for all numbers.

Step1:

LCM(742, 690) = 255990

GCD(742, 690) = ( 742 x 690 ) / 255990

= 742 / 690

= 742

Step2:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 742, 690, 228, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 410, 597, 396
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• GCD of 463, 751, 788, 298
• GCD of 727, 560, 179, 299
• GCD of 542, 795, 576, 658

Given numbers are 742, 690, 228, 340
The greatest common divisor of numbers 742, 690, 228, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 690, 228, 340 is 2.

1. What is the GCD of 742, 690, 228, 340?

GCD of given numbers 742, 690, 228, 340 is 2

2. How to calculate the greatest common divisor of 742, 690, 228, 340?

We can find the highest common divisor of 742, 690, 228, 340 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 742, 690, 228, 340 i.e 2.

3. How can I use the GCD of 742, 690, 228, 340Calculator?

Out the numbers 742, 690, 228, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.