GCD of 294, 868, 952, 959 Calculator

Given Input numbers are 294, 868, 952, 959

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

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 959 :

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

1, 7, 137, 959

GCD of numbers is the greatest common divisor

So, the GCD (294, 868, 952, 959) = 7.

Given numbers are 294, 868, 952, 959

The list of prime factors of all numbers are

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 868 are 2 x 2 x 7 x 31

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

Prime factors of 959 are 7 x 137

The highest common occurrence is 7¹

Therefore, GCD of 294, 868, 952, 959 is 7.

Given numbers are 294, 868, 952, 959

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

Apply this formula for all numbers.

Step1:

LCM(294, 868) = 18228

GCD(294, 868) = ( 294 x 868 ) / 18228

= 294 / 868

= 294

Step2:

LCM(14, 952) = 952

GCD(14, 952) = ( 14 x 952 ) / 952

= 14 / 952

= 14

Step3:

LCM(14, 959) = 1918

GCD(14, 959) = ( 14 x 959 ) / 1918

= 14 / 959

= 14

So, Greatest Common Divisor of 294, 868, 952, 959 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 865, 701, 585
• GCD of 103, 855, 543, 768
• GCD of 846, 549, 738, 612
• GCD of 402, 919, 684, 400
• GCD of 925, 124, 522, 968

Given numbers are 294, 868, 952, 959
The greatest common divisor of numbers 294, 868, 952, 959 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 868, 952, 959 is 7.

1. What is the GCD of 294, 868, 952, 959?

GCD of given numbers 294, 868, 952, 959 is 7

2. How to calculate the greatest common divisor of 294, 868, 952, 959?

We can find the highest common divisor of 294, 868, 952, 959 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 294, 868, 952, 959 i.e 7.

3. How can I use the GCD of 294, 868, 952, 959Calculator?

Out the numbers 294, 868, 952, 959 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.