GCD of 105, 948, 661, 271 Calculator

Given Input numbers are 105, 948, 661, 271

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661

Divisors of 271 :

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

1, 271

GCD of numbers is the greatest common divisor

So, the GCD (105, 948, 661, 271) = 1.

Given numbers are 105, 948, 661, 271

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 661 are 661

Prime factors of 271 are 271

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

Given numbers are 105, 948, 661, 271

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

Apply this formula for all numbers.

Step1:

LCM(105, 948) = 33180

GCD(105, 948) = ( 105 x 948 ) / 33180

= 105 / 948

= 105

Step2:

LCM(3, 661) = 1983

GCD(3, 661) = ( 3 x 661 ) / 1983

= 3 / 661

= 3

Step3:

LCM(1, 271) = 271

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

= 1 / 271

= 1

So, Greatest Common Divisor of 105, 948, 661, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 693, 123, 976
• GCD of 701, 964, 226, 216
• GCD of 396, 450, 348, 422
• GCD of 780, 226, 698, 821
• GCD of 786, 265, 540, 891

Given numbers are 105, 948, 661, 271
The greatest common divisor of numbers 105, 948, 661, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 948, 661, 271 is 1.

1. What is the GCD of 105, 948, 661, 271?

GCD of given numbers 105, 948, 661, 271 is 1

2. How to calculate the greatest common divisor of 105, 948, 661, 271?

We can find the highest common divisor of 105, 948, 661, 271 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 105, 948, 661, 271 i.e 1.

3. How can I use the GCD of 105, 948, 661, 271Calculator?

Out the numbers 105, 948, 661, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.