GCD of 241, 313, 142, 972 Calculator

Given Input numbers are 241, 313, 142, 972

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

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (241, 313, 142, 972) = 1.

Given numbers are 241, 313, 142, 972

The list of prime factors of all numbers are

Prime factors of 241 are 241

Prime factors of 313 are 313

Prime factors of 142 are 2 x 71

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 241, 313, 142, 972

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

Apply this formula for all numbers.

Step1:

LCM(241, 313) = 75433

GCD(241, 313) = ( 241 x 313 ) / 75433

= 241 / 313

= 241

Step2:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 241, 313, 142, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 889, 508, 328
• GCD of 166, 361, 102, 395
• GCD of 376, 556, 276, 705
• GCD of 918, 876, 639, 211
• GCD of 587, 293, 126, 794

Given numbers are 241, 313, 142, 972
The greatest common divisor of numbers 241, 313, 142, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 241, 313, 142, 972 is 1.

1. What is the GCD of 241, 313, 142, 972?

GCD of given numbers 241, 313, 142, 972 is 1

2. How to calculate the greatest common divisor of 241, 313, 142, 972?

We can find the highest common divisor of 241, 313, 142, 972 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 241, 313, 142, 972 i.e 1.

3. How can I use the GCD of 241, 313, 142, 972Calculator?

Out the numbers 241, 313, 142, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.