GCD of 348, 974, 502, 772 Calculator

Given Input numbers are 348, 974, 502, 772

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 502 :

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

1, 2, 251, 502

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (348, 974, 502, 772) = 2.

Given numbers are 348, 974, 502, 772

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 974 are 2 x 487

Prime factors of 502 are 2 x 251

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 348, 974, 502, 772 is 2.

Given numbers are 348, 974, 502, 772

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

Apply this formula for all numbers.

Step1:

LCM(348, 974) = 169476

GCD(348, 974) = ( 348 x 974 ) / 169476

= 348 / 974

= 348

Step2:

LCM(2, 502) = 502

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

= 2 / 502

= 2

Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

So, Greatest Common Divisor of 348, 974, 502, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 677, 640, 934
• GCD of 842, 854, 319, 550
• GCD of 632, 192, 323, 431
• GCD of 389, 935, 592, 387
• GCD of 955, 868, 878, 423

Given numbers are 348, 974, 502, 772
The greatest common divisor of numbers 348, 974, 502, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 974, 502, 772 is 2.

1. What is the GCD of 348, 974, 502, 772?

GCD of given numbers 348, 974, 502, 772 is 2

2. How to calculate the greatest common divisor of 348, 974, 502, 772?

We can find the highest common divisor of 348, 974, 502, 772 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 348, 974, 502, 772 i.e 2.

3. How can I use the GCD of 348, 974, 502, 772Calculator?

Out the numbers 348, 974, 502, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.