GCD of 969, 348, 525, 294 Calculator

Given Input numbers are 969, 348, 525, 294

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

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

GCD of numbers is the greatest common divisor

So, the GCD (969, 348, 525, 294) = 3.

Given numbers are 969, 348, 525, 294

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 525 are 3 x 5 x 5 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 969, 348, 525, 294 is 3.

Given numbers are 969, 348, 525, 294

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

Apply this formula for all numbers.

Step1:

LCM(969, 348) = 112404

GCD(969, 348) = ( 969 x 348 ) / 112404

= 969 / 348

= 969

Step2:

LCM(3, 525) = 525

GCD(3, 525) = ( 3 x 525 ) / 525

= 3 / 525

= 3

Step3:

LCM(3, 294) = 294

GCD(3, 294) = ( 3 x 294 ) / 294

= 3 / 294

= 3

So, Greatest Common Divisor of 969, 348, 525, 294 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 873, 380, 785
• GCD of 393, 803, 852, 299
• GCD of 574, 685, 436, 404
• GCD of 602, 292, 502, 552
• GCD of 164, 910, 117, 185

Given numbers are 969, 348, 525, 294
The greatest common divisor of numbers 969, 348, 525, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 348, 525, 294 is 3.

1. What is the GCD of 969, 348, 525, 294?

GCD of given numbers 969, 348, 525, 294 is 3

2. How to calculate the greatest common divisor of 969, 348, 525, 294?

We can find the highest common divisor of 969, 348, 525, 294 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 969, 348, 525, 294 i.e 3.

3. How can I use the GCD of 969, 348, 525, 294Calculator?

Out the numbers 969, 348, 525, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.