GCD of 902, 370, 260, 198 Calculator

Given Input numbers are 902, 370, 260, 198

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (902, 370, 260, 198) = 2.

Given numbers are 902, 370, 260, 198

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 370 are 2 x 5 x 37

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

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 902, 370, 260, 198 is 2.

Given numbers are 902, 370, 260, 198

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

Apply this formula for all numbers.

Step1:

LCM(902, 370) = 166870

GCD(902, 370) = ( 902 x 370 ) / 166870

= 902 / 370

= 902

Step2:

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

= 2 / 260

= 2

Step3:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 902, 370, 260, 198 is 2

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Given numbers are 902, 370, 260, 198
The greatest common divisor of numbers 902, 370, 260, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 370, 260, 198 is 2.

1. What is the GCD of 902, 370, 260, 198?

GCD of given numbers 902, 370, 260, 198 is 2

2. How to calculate the greatest common divisor of 902, 370, 260, 198?

We can find the highest common divisor of 902, 370, 260, 198 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 902, 370, 260, 198 i.e 2.

3. How can I use the GCD of 902, 370, 260, 198Calculator?

Out the numbers 902, 370, 260, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.