GCD of 310, 242, 138, 478 Calculator

Given Input numbers are 310, 242, 138, 478

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

GCD of numbers is the greatest common divisor

So, the GCD (310, 242, 138, 478) = 2.

Given numbers are 310, 242, 138, 478

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 242 are 2 x 11 x 11

Prime factors of 138 are 2 x 3 x 23

Prime factors of 478 are 2 x 239

The highest common occurrence is 2¹

Therefore, GCD of 310, 242, 138, 478 is 2.

Given numbers are 310, 242, 138, 478

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

Apply this formula for all numbers.

Step1:

LCM(310, 242) = 37510

GCD(310, 242) = ( 310 x 242 ) / 37510

= 310 / 242

= 310

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

= 2 / 478

= 2

So, Greatest Common Divisor of 310, 242, 138, 478 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 374, 388, 424
• GCD of 432, 574, 749, 334
• GCD of 561, 662, 436, 239
• GCD of 260, 926, 695, 520
• GCD of 498, 535, 244, 119

Given numbers are 310, 242, 138, 478
The greatest common divisor of numbers 310, 242, 138, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 242, 138, 478 is 2.

1. What is the GCD of 310, 242, 138, 478?

GCD of given numbers 310, 242, 138, 478 is 2

2. How to calculate the greatest common divisor of 310, 242, 138, 478?

We can find the highest common divisor of 310, 242, 138, 478 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 310, 242, 138, 478 i.e 2.

3. How can I use the GCD of 310, 242, 138, 478Calculator?

Out the numbers 310, 242, 138, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.