GCD of 959, 301, 952, 378 Calculator

Given Input numbers are 959, 301, 952, 378

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

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (959, 301, 952, 378) = 7.

Given numbers are 959, 301, 952, 378

The list of prime factors of all numbers are

Prime factors of 959 are 7 x 137

Prime factors of 301 are 7 x 43

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 7¹

Therefore, GCD of 959, 301, 952, 378 is 7.

Given numbers are 959, 301, 952, 378

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

Apply this formula for all numbers.

Step1:

LCM(959, 301) = 41237

GCD(959, 301) = ( 959 x 301 ) / 41237

= 959 / 301

= 959

Step2:

LCM(7, 952) = 952

GCD(7, 952) = ( 7 x 952 ) / 952

= 7 / 952

= 7

Step3:

LCM(7, 378) = 378

GCD(7, 378) = ( 7 x 378 ) / 378

= 7 / 378

= 7

So, Greatest Common Divisor of 959, 301, 952, 378 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 282, 950, 561
• GCD of 180, 951, 547, 286
• GCD of 179, 249, 783, 262
• GCD of 753, 650, 796, 638
• GCD of 282, 832, 426, 541

Given numbers are 959, 301, 952, 378
The greatest common divisor of numbers 959, 301, 952, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 959, 301, 952, 378 is 7.

1. What is the GCD of 959, 301, 952, 378?

GCD of given numbers 959, 301, 952, 378 is 7

2. How to calculate the greatest common divisor of 959, 301, 952, 378?

We can find the highest common divisor of 959, 301, 952, 378 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 959, 301, 952, 378 i.e 7.

3. How can I use the GCD of 959, 301, 952, 378Calculator?

Out the numbers 959, 301, 952, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.