GCD of 998, 142, 148 Calculator

Given Input numbers are 998, 142, 148

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (998, 142, 148) = 2.

Given numbers are 998, 142, 148

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 142 are 2 x 71

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 998, 142, 148 is 2.

Given numbers are 998, 142, 148

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

Apply this formula for all numbers.

Step1:

LCM(998, 142) = 70858

GCD(998, 142) = ( 998 x 142 ) / 70858

= 998 / 142

= 998

Step2:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2

So, Greatest Common Divisor of 998, 142, 148 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 660, 488
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Given numbers are 998, 142, 148
The greatest common divisor of numbers 998, 142, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 142, 148 is 2.

1. What is the GCD of 998, 142, 148?

GCD of given numbers 998, 142, 148 is 2

2. How to calculate the greatest common divisor of 998, 142, 148?

We can find the highest common divisor of 998, 142, 148 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 998, 142, 148 i.e 2.

3. How can I use the GCD of 998, 142, 148Calculator?

Out the numbers 998, 142, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.