GCD of 266, 980, 896, 618 Calculator

Given Input numbers are 266, 980, 896, 618

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

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

GCD of numbers is the greatest common divisor

So, the GCD (266, 980, 896, 618) = 2.

Given numbers are 266, 980, 896, 618

The list of prime factors of all numbers are

Prime factors of 266 are 2 x 7 x 19

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

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 618 are 2 x 3 x 103

The highest common occurrence is 2¹

Therefore, GCD of 266, 980, 896, 618 is 2.

Given numbers are 266, 980, 896, 618

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

Apply this formula for all numbers.

Step1:

LCM(266, 980) = 18620

GCD(266, 980) = ( 266 x 980 ) / 18620

= 266 / 980

= 266

Step2:

LCM(14, 896) = 896

GCD(14, 896) = ( 14 x 896 ) / 896

= 14 / 896

= 14

Step3:

LCM(14, 618) = 4326

GCD(14, 618) = ( 14 x 618 ) / 4326

= 14 / 618

= 14

So, Greatest Common Divisor of 266, 980, 896, 618 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 844, 705, 431
• GCD of 603, 168, 488, 853
• GCD of 661, 612, 131, 351
• GCD of 636, 388, 575, 893
• GCD of 907, 166, 290, 948

Given numbers are 266, 980, 896, 618
The greatest common divisor of numbers 266, 980, 896, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 266, 980, 896, 618 is 2.

1. What is the GCD of 266, 980, 896, 618?

GCD of given numbers 266, 980, 896, 618 is 2

2. How to calculate the greatest common divisor of 266, 980, 896, 618?

We can find the highest common divisor of 266, 980, 896, 618 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 266, 980, 896, 618 i.e 2.

3. How can I use the GCD of 266, 980, 896, 618Calculator?

Out the numbers 266, 980, 896, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.