GCD of 298, 722, 142 Calculator

Given Input numbers are 298, 722, 142

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 142 :

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

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (298, 722, 142) = 2.

Given numbers are 298, 722, 142

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 722 are 2 x 19 x 19

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 298, 722, 142 is 2.

Given numbers are 298, 722, 142

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

Apply this formula for all numbers.

Step1:

LCM(298, 722) = 107578

GCD(298, 722) = ( 298 x 722 ) / 107578

= 298 / 722

= 298

Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 298, 722, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 570, 145
• GCD of 143, 572, 293
• GCD of 341, 859, 577
• GCD of 640, 680, 602
• GCD of 740, 501, 839

Given numbers are 298, 722, 142
The greatest common divisor of numbers 298, 722, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 722, 142 is 2.

1. What is the GCD of 298, 722, 142?

GCD of given numbers 298, 722, 142 is 2

2. How to calculate the greatest common divisor of 298, 722, 142?

We can find the highest common divisor of 298, 722, 142 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 298, 722, 142 i.e 2.

3. How can I use the GCD of 298, 722, 142Calculator?

Out the numbers 298, 722, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.