GCD of 168, 140, 196 Calculator

Given Input numbers are 168, 140, 196

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (168, 140, 196) = 28.

Given numbers are 168, 140, 196

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

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

Prime factors of 196 are 2 x 2 x 7 x 7

The highest common occurrence is 2² x 7¹

Therefore, GCD of 168, 140, 196 is 28.

Given numbers are 168, 140, 196

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

Apply this formula for all numbers.

Step1:

LCM(168, 140) = 840

GCD(168, 140) = ( 168 x 140 ) / 840

= 168 / 140

= 168

Step2:

LCM(28, 196) = 196

GCD(28, 196) = ( 28 x 196 ) / 196

= 28 / 196

= 28

So, Greatest Common Divisor of 168, 140, 196 is 28

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 229, 149
• GCD of 926, 947, 404
• GCD of 631, 956, 663
• GCD of 834, 713, 583
• GCD of 783, 848, 222

Given numbers are 168, 140, 196
The greatest common divisor of numbers 168, 140, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 140, 196 is 28.

1. What is the GCD of 168, 140, 196?

GCD of given numbers 168, 140, 196 is 28

2. How to calculate the greatest common divisor of 168, 140, 196?

We can find the highest common divisor of 168, 140, 196 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 168, 140, 196 i.e 28.

3. How can I use the GCD of 168, 140, 196Calculator?

Out the numbers 168, 140, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.