GCD of 742, 238, 652, 278 Calculator

Given Input numbers are 742, 238, 652, 278

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 238 :

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

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

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

GCD of numbers is the greatest common divisor

So, the GCD (742, 238, 652, 278) = 2.

Given numbers are 742, 238, 652, 278

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 238 are 2 x 7 x 17

Prime factors of 652 are 2 x 2 x 163

Prime factors of 278 are 2 x 139

The highest common occurrence is 2¹

Therefore, GCD of 742, 238, 652, 278 is 2.

Given numbers are 742, 238, 652, 278

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

Apply this formula for all numbers.

Step1:

LCM(742, 238) = 12614

GCD(742, 238) = ( 742 x 238 ) / 12614

= 742 / 238

= 742

Step2:

LCM(14, 652) = 4564

GCD(14, 652) = ( 14 x 652 ) / 4564

= 14 / 652

= 14

Step3:

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

= 2 / 278

= 2

So, Greatest Common Divisor of 742, 238, 652, 278 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 344, 972, 734
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• GCD of 709, 107, 748, 343

Given numbers are 742, 238, 652, 278
The greatest common divisor of numbers 742, 238, 652, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 238, 652, 278 is 2.

1. What is the GCD of 742, 238, 652, 278?

GCD of given numbers 742, 238, 652, 278 is 2

2. How to calculate the greatest common divisor of 742, 238, 652, 278?

We can find the highest common divisor of 742, 238, 652, 278 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, 238, 652, 278 i.e 2.

3. How can I use the GCD of 742, 238, 652, 278Calculator?

Out the numbers 742, 238, 652, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.