GCD of 763, 189, 196 Calculator

Given Input numbers are 763, 189, 196

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

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

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 (763, 189, 196) = 7.

Given numbers are 763, 189, 196

The list of prime factors of all numbers are

Prime factors of 763 are 7 x 109

Prime factors of 189 are 3 x 3 x 3 x 7

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

The highest common occurrence is 7¹

Therefore, GCD of 763, 189, 196 is 7.

Given numbers are 763, 189, 196

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

Apply this formula for all numbers.

Step1:

LCM(763, 189) = 20601

GCD(763, 189) = ( 763 x 189 ) / 20601

= 763 / 189

= 763

Step2:

LCM(7, 196) = 196

GCD(7, 196) = ( 7 x 196 ) / 196

= 7 / 196

= 7

So, Greatest Common Divisor of 763, 189, 196 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 665, 940
• GCD of 937, 236, 347
• GCD of 235, 790, 433
• GCD of 925, 856, 706
• GCD of 410, 455, 901

Given numbers are 763, 189, 196
The greatest common divisor of numbers 763, 189, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 763, 189, 196 is 7.

1. What is the GCD of 763, 189, 196?

GCD of given numbers 763, 189, 196 is 7

2. How to calculate the greatest common divisor of 763, 189, 196?

We can find the highest common divisor of 763, 189, 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 763, 189, 196 i.e 7.

3. How can I use the GCD of 763, 189, 196Calculator?

Out the numbers 763, 189, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.