GCD of 749, 691, 949, 196 Calculator

Given Input numbers are 749, 691, 949, 196

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

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 (749, 691, 949, 196) = 1.

Given numbers are 749, 691, 949, 196

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 691 are 691

Prime factors of 949 are 13 x 73

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 749, 691, 949, 196

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

Apply this formula for all numbers.

Step1:

LCM(749, 691) = 517559

GCD(749, 691) = ( 749 x 691 ) / 517559

= 749 / 691

= 749

Step2:

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

= 1 / 949

= 1

Step3:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

So, Greatest Common Divisor of 749, 691, 949, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 749, 855, 293
• GCD of 554, 373, 881, 606
• GCD of 355, 734, 896, 175
• GCD of 259, 181, 664, 446
• GCD of 879, 781, 420, 678

Given numbers are 749, 691, 949, 196
The greatest common divisor of numbers 749, 691, 949, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 691, 949, 196 is 1.

1. What is the GCD of 749, 691, 949, 196?

GCD of given numbers 749, 691, 949, 196 is 1

2. How to calculate the greatest common divisor of 749, 691, 949, 196?

We can find the highest common divisor of 749, 691, 949, 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 749, 691, 949, 196 i.e 1.

3. How can I use the GCD of 749, 691, 949, 196Calculator?

Out the numbers 749, 691, 949, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.