GCD of 264, 958, 980, 112 Calculator

Given Input numbers are 264, 958, 980, 112

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (264, 958, 980, 112) = 2.

Given numbers are 264, 958, 980, 112

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 958 are 2 x 479

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 264, 958, 980, 112 is 2.

Given numbers are 264, 958, 980, 112

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

Apply this formula for all numbers.

Step1:

LCM(264, 958) = 126456

GCD(264, 958) = ( 264 x 958 ) / 126456

= 264 / 958

= 264

Step2:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

Step3:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

So, Greatest Common Divisor of 264, 958, 980, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 259, 386, 101
• GCD of 391, 632, 466, 893
• GCD of 924, 732, 289, 549
• GCD of 755, 386, 789, 264
• GCD of 775, 930, 129, 734

Given numbers are 264, 958, 980, 112
The greatest common divisor of numbers 264, 958, 980, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 958, 980, 112 is 2.

1. What is the GCD of 264, 958, 980, 112?

GCD of given numbers 264, 958, 980, 112 is 2

2. How to calculate the greatest common divisor of 264, 958, 980, 112?

We can find the highest common divisor of 264, 958, 980, 112 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 264, 958, 980, 112 i.e 2.

3. How can I use the GCD of 264, 958, 980, 112Calculator?

Out the numbers 264, 958, 980, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.