GCD of 882, 705, 147, 240 Calculator

Given Input numbers are 882, 705, 147, 240

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (882, 705, 147, 240) = 3.

Given numbers are 882, 705, 147, 240

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 705 are 3 x 5 x 47

Prime factors of 147 are 3 x 7 x 7

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 882, 705, 147, 240 is 3.

Given numbers are 882, 705, 147, 240

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

Apply this formula for all numbers.

Step1:

LCM(882, 705) = 207270

GCD(882, 705) = ( 882 x 705 ) / 207270

= 882 / 705

= 882

Step2:

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

= 3 / 147

= 3

Step3:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 882, 705, 147, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 429, 149, 780
• GCD of 264, 868, 120, 102
• GCD of 654, 232, 139, 808
• GCD of 503, 750, 493, 814
• GCD of 350, 521, 592, 338

Given numbers are 882, 705, 147, 240
The greatest common divisor of numbers 882, 705, 147, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 705, 147, 240 is 3.

1. What is the GCD of 882, 705, 147, 240?

GCD of given numbers 882, 705, 147, 240 is 3

2. How to calculate the greatest common divisor of 882, 705, 147, 240?

We can find the highest common divisor of 882, 705, 147, 240 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 882, 705, 147, 240 i.e 3.

3. How can I use the GCD of 882, 705, 147, 240Calculator?

Out the numbers 882, 705, 147, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.