GCD of 140, 998, 84 Calculator

Given Input numbers are 140, 998, 84

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

GCD of numbers is the greatest common divisor

So, the GCD (140, 998, 84) = 2.

Given numbers are 140, 998, 84

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 998 are 2 x 499

Prime factors of 84 are 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 140, 998, 84 is 2.

Given numbers are 140, 998, 84

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

Apply this formula for all numbers.

Step1:

LCM(140, 998) = 69860

GCD(140, 998) = ( 140 x 998 ) / 69860

= 140 / 998

= 140

Step2:

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

= 2 / 84

= 2

So, Greatest Common Divisor of 140, 998, 84 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 102, 38
• GCD of 648, 165, 62
• GCD of 972, 745, 66
• GCD of 153, 884, 37
• GCD of 730, 102, 97

Given numbers are 140, 998, 84
The greatest common divisor of numbers 140, 998, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 998, 84 is 2.

1. What is the GCD of 140, 998, 84?

GCD of given numbers 140, 998, 84 is 2

2. How to calculate the greatest common divisor of 140, 998, 84?

We can find the highest common divisor of 140, 998, 84 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 140, 998, 84 i.e 2.

3. How can I use the GCD of 140, 998, 84Calculator?

Out the numbers 140, 998, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.