GCD of 348, 724, 490, 141 Calculator

Given Input numbers are 348, 724, 490, 141

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

GCD of numbers is the greatest common divisor

So, the GCD (348, 724, 490, 141) = 1.

Given numbers are 348, 724, 490, 141

The list of prime factors of all numbers are

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 141 are 3 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 348, 724, 490, 141

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

Apply this formula for all numbers.

Step1:

LCM(348, 724) = 62988

GCD(348, 724) = ( 348 x 724 ) / 62988

= 348 / 724

= 348

Step2:

LCM(4, 490) = 980

GCD(4, 490) = ( 4 x 490 ) / 980

= 4 / 490

= 4

Step3:

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

= 2 / 141

= 2

So, Greatest Common Divisor of 348, 724, 490, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 407, 895, 583
• GCD of 237, 541, 750, 536
• GCD of 843, 481, 744, 547
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Given numbers are 348, 724, 490, 141
The greatest common divisor of numbers 348, 724, 490, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 724, 490, 141 is 1.

1. What is the GCD of 348, 724, 490, 141?

GCD of given numbers 348, 724, 490, 141 is 1

2. How to calculate the greatest common divisor of 348, 724, 490, 141?

We can find the highest common divisor of 348, 724, 490, 141 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, 724, 490, 141 i.e 1.

3. How can I use the GCD of 348, 724, 490, 141Calculator?

Out the numbers 348, 724, 490, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.