GCD of 988, 474, 254, 160 Calculator

Given Input numbers are 988, 474, 254, 160

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (988, 474, 254, 160) = 2.

Given numbers are 988, 474, 254, 160

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 474 are 2 x 3 x 79

Prime factors of 254 are 2 x 127

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 988, 474, 254, 160 is 2.

Given numbers are 988, 474, 254, 160

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

Apply this formula for all numbers.

Step1:

LCM(988, 474) = 234156

GCD(988, 474) = ( 988 x 474 ) / 234156

= 988 / 474

= 988

Step2:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

So, Greatest Common Divisor of 988, 474, 254, 160 is 2

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Given numbers are 988, 474, 254, 160
The greatest common divisor of numbers 988, 474, 254, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 474, 254, 160 is 2.

1. What is the GCD of 988, 474, 254, 160?

GCD of given numbers 988, 474, 254, 160 is 2

2. How to calculate the greatest common divisor of 988, 474, 254, 160?

We can find the highest common divisor of 988, 474, 254, 160 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 988, 474, 254, 160 i.e 2.

3. How can I use the GCD of 988, 474, 254, 160Calculator?

Out the numbers 988, 474, 254, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.