GCD of 348, 501, 858, 705 Calculator

Given Input numbers are 348, 501, 858, 705

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 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (348, 501, 858, 705) = 3.

Given numbers are 348, 501, 858, 705

The list of prime factors of all numbers are

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

Prime factors of 501 are 3 x 167

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 3¹

Therefore, GCD of 348, 501, 858, 705 is 3.

Given numbers are 348, 501, 858, 705

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

Apply this formula for all numbers.

Step1:

LCM(348, 501) = 58116

GCD(348, 501) = ( 348 x 501 ) / 58116

= 348 / 501

= 348

Step2:

LCM(3, 858) = 858

GCD(3, 858) = ( 3 x 858 ) / 858

= 3 / 858

= 3

Step3:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

So, Greatest Common Divisor of 348, 501, 858, 705 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 997, 988, 117
• GCD of 924, 274, 900, 127
• GCD of 871, 291, 766, 243
• GCD of 415, 632, 950, 325
• GCD of 476, 336, 909, 508

Given numbers are 348, 501, 858, 705
The greatest common divisor of numbers 348, 501, 858, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 501, 858, 705 is 3.

1. What is the GCD of 348, 501, 858, 705?

GCD of given numbers 348, 501, 858, 705 is 3

2. How to calculate the greatest common divisor of 348, 501, 858, 705?

We can find the highest common divisor of 348, 501, 858, 705 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, 501, 858, 705 i.e 3.

3. How can I use the GCD of 348, 501, 858, 705Calculator?

Out the numbers 348, 501, 858, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.