GCD of 370, 414, 796, 502 Calculator

Given Input numbers are 370, 414, 796, 502

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

GCD of numbers is the greatest common divisor

So, the GCD (370, 414, 796, 502) = 2.

Given numbers are 370, 414, 796, 502

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 796 are 2 x 2 x 199

Prime factors of 502 are 2 x 251

The highest common occurrence is 2¹

Therefore, GCD of 370, 414, 796, 502 is 2.

Given numbers are 370, 414, 796, 502

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

Apply this formula for all numbers.

Step1:

LCM(370, 414) = 76590

GCD(370, 414) = ( 370 x 414 ) / 76590

= 370 / 414

= 370

Step2:

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

= 2 / 796

= 2

Step3:

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

= 2 / 502

= 2

So, Greatest Common Divisor of 370, 414, 796, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 940, 739, 664
• GCD of 271, 543, 710, 476
• GCD of 231, 929, 383, 365
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• GCD of 550, 827, 644, 877

Given numbers are 370, 414, 796, 502
The greatest common divisor of numbers 370, 414, 796, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 414, 796, 502 is 2.

1. What is the GCD of 370, 414, 796, 502?

GCD of given numbers 370, 414, 796, 502 is 2

2. How to calculate the greatest common divisor of 370, 414, 796, 502?

We can find the highest common divisor of 370, 414, 796, 502 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 370, 414, 796, 502 i.e 2.

3. How can I use the GCD of 370, 414, 796, 502Calculator?

Out the numbers 370, 414, 796, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.