GCD of 474, 614, 996, 434 Calculator

Given Input numbers are 474, 614, 996, 434

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (474, 614, 996, 434) = 2.

Given numbers are 474, 614, 996, 434

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 614 are 2 x 307

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 474, 614, 996, 434 is 2.

Given numbers are 474, 614, 996, 434

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

Apply this formula for all numbers.

Step1:

LCM(474, 614) = 145518

GCD(474, 614) = ( 474 x 614 ) / 145518

= 474 / 614

= 474

Step2:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

Step3:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2

So, Greatest Common Divisor of 474, 614, 996, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 287, 110, 461
• GCD of 830, 803, 716, 442
• GCD of 724, 883, 196, 123
• GCD of 623, 915, 827, 614
• GCD of 451, 895, 484, 154

Given numbers are 474, 614, 996, 434
The greatest common divisor of numbers 474, 614, 996, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 614, 996, 434 is 2.

1. What is the GCD of 474, 614, 996, 434?

GCD of given numbers 474, 614, 996, 434 is 2

2. How to calculate the greatest common divisor of 474, 614, 996, 434?

We can find the highest common divisor of 474, 614, 996, 434 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 474, 614, 996, 434 i.e 2.

3. How can I use the GCD of 474, 614, 996, 434Calculator?

Out the numbers 474, 614, 996, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.