GCD of 142, 949, 271, 109 Calculator

Given Input numbers are 142, 949, 271, 109

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

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (142, 949, 271, 109) = 1.

Given numbers are 142, 949, 271, 109

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 949 are 13 x 73

Prime factors of 271 are 271

Prime factors of 109 are 109

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

Given numbers are 142, 949, 271, 109

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

Apply this formula for all numbers.

Step1:

LCM(142, 949) = 134758

GCD(142, 949) = ( 142 x 949 ) / 134758

= 142 / 949

= 142

Step2:

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

= 1 / 271

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 142, 949, 271, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 544, 779, 818
• GCD of 669, 284, 920, 833
• GCD of 451, 795, 285, 793
• GCD of 701, 685, 839, 241
• GCD of 709, 666, 244, 120

Given numbers are 142, 949, 271, 109
The greatest common divisor of numbers 142, 949, 271, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 949, 271, 109 is 1.

1. What is the GCD of 142, 949, 271, 109?

GCD of given numbers 142, 949, 271, 109 is 1

2. How to calculate the greatest common divisor of 142, 949, 271, 109?

We can find the highest common divisor of 142, 949, 271, 109 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 142, 949, 271, 109 i.e 1.

3. How can I use the GCD of 142, 949, 271, 109Calculator?

Out the numbers 142, 949, 271, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.