GCD of 342, 748, 920, 141 Calculator

Given Input numbers are 342, 748, 920, 141

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 (342, 748, 920, 141) = 1.

Given numbers are 342, 748, 920, 141

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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 342, 748, 920, 141

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

Apply this formula for all numbers.

Step1:

LCM(342, 748) = 127908

GCD(342, 748) = ( 342 x 748 ) / 127908

= 342 / 748

= 342

Step2:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

Step3:

LCM(2, 141) = 282

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

= 2 / 141

= 2

So, Greatest Common Divisor of 342, 748, 920, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 316, 729, 196
• GCD of 401, 504, 714, 991
• GCD of 801, 377, 922, 370
• GCD of 536, 431, 767, 813
• GCD of 967, 790, 276, 898

Given numbers are 342, 748, 920, 141
The greatest common divisor of numbers 342, 748, 920, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 748, 920, 141 is 1.

1. What is the GCD of 342, 748, 920, 141?

GCD of given numbers 342, 748, 920, 141 is 1

2. How to calculate the greatest common divisor of 342, 748, 920, 141?

We can find the highest common divisor of 342, 748, 920, 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 342, 748, 920, 141 i.e 1.

3. How can I use the GCD of 342, 748, 920, 141Calculator?

Out the numbers 342, 748, 920, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.