GCD of 214, 948, 691, 878 Calculator

Given Input numbers are 214, 948, 691, 878

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

GCD of numbers is the greatest common divisor

So, the GCD (214, 948, 691, 878) = 1.

Given numbers are 214, 948, 691, 878

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

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

Prime factors of 691 are 691

Prime factors of 878 are 2 x 439

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

Given numbers are 214, 948, 691, 878

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

Apply this formula for all numbers.

Step1:

LCM(214, 948) = 101436

GCD(214, 948) = ( 214 x 948 ) / 101436

= 214 / 948

= 214

Step2:

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

= 2 / 691

= 2

Step3:

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

= 1 / 878

= 1

So, Greatest Common Divisor of 214, 948, 691, 878 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 869, 261, 626
• GCD of 985, 233, 753, 932
• GCD of 772, 249, 982, 304
• GCD of 926, 533, 685, 705
• GCD of 564, 948, 578, 501

Given numbers are 214, 948, 691, 878
The greatest common divisor of numbers 214, 948, 691, 878 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 948, 691, 878 is 1.

1. What is the GCD of 214, 948, 691, 878?

GCD of given numbers 214, 948, 691, 878 is 1

2. How to calculate the greatest common divisor of 214, 948, 691, 878?

We can find the highest common divisor of 214, 948, 691, 878 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 214, 948, 691, 878 i.e 1.

3. How can I use the GCD of 214, 948, 691, 878Calculator?

Out the numbers 214, 948, 691, 878 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.