GCD of 260, 120, 972, 882 Calculator

Given Input numbers are 260, 120, 972, 882

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

GCD of numbers is the greatest common divisor

So, the GCD (260, 120, 972, 882) = 2.

Given numbers are 260, 120, 972, 882

The list of prime factors of all numbers are

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 260, 120, 972, 882 is 2.

Given numbers are 260, 120, 972, 882

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

Apply this formula for all numbers.

Step1:

LCM(260, 120) = 1560

GCD(260, 120) = ( 260 x 120 ) / 1560

= 260 / 120

= 260

Step2:

LCM(20, 972) = 4860

GCD(20, 972) = ( 20 x 972 ) / 4860

= 20 / 972

= 20

Step3:

LCM(4, 882) = 1764

GCD(4, 882) = ( 4 x 882 ) / 1764

= 4 / 882

= 4

So, Greatest Common Divisor of 260, 120, 972, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 827, 536, 996
• GCD of 669, 904, 963, 407
• GCD of 188, 949, 731, 976
• GCD of 788, 821, 356, 268
• GCD of 931, 932, 938, 317

Given numbers are 260, 120, 972, 882
The greatest common divisor of numbers 260, 120, 972, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 120, 972, 882 is 2.

1. What is the GCD of 260, 120, 972, 882?

GCD of given numbers 260, 120, 972, 882 is 2

2. How to calculate the greatest common divisor of 260, 120, 972, 882?

We can find the highest common divisor of 260, 120, 972, 882 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 260, 120, 972, 882 i.e 2.

3. How can I use the GCD of 260, 120, 972, 882Calculator?

Out the numbers 260, 120, 972, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.