GCD of 882, 614, 132, 280 Calculator

Given Input numbers are 882, 614, 132, 280

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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (882, 614, 132, 280) = 2.

Given numbers are 882, 614, 132, 280

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 614 are 2 x 307

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 882, 614, 132, 280 is 2.

Given numbers are 882, 614, 132, 280

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

Apply this formula for all numbers.

Step1:

LCM(882, 614) = 270774

GCD(882, 614) = ( 882 x 614 ) / 270774

= 882 / 614

= 882

Step2:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 882, 614, 132, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 987, 758, 988
• GCD of 117, 756, 522, 270
• GCD of 740, 849, 582, 836
• GCD of 781, 901, 902, 216
• GCD of 320, 666, 735, 607

Given numbers are 882, 614, 132, 280
The greatest common divisor of numbers 882, 614, 132, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 614, 132, 280 is 2.

1. What is the GCD of 882, 614, 132, 280?

GCD of given numbers 882, 614, 132, 280 is 2

2. How to calculate the greatest common divisor of 882, 614, 132, 280?

We can find the highest common divisor of 882, 614, 132, 280 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, 614, 132, 280 i.e 2.

3. How can I use the GCD of 882, 614, 132, 280Calculator?

Out the numbers 882, 614, 132, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.