GCD of 946, 748, 689, 299 Calculator

Given Input numbers are 946, 748, 689, 299

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

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

GCD of numbers is the greatest common divisor

So, the GCD (946, 748, 689, 299) = 1.

Given numbers are 946, 748, 689, 299

The list of prime factors of all numbers are

Prime factors of 946 are 2 x 11 x 43

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 689 are 13 x 53

Prime factors of 299 are 13 x 23

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

Given numbers are 946, 748, 689, 299

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

Apply this formula for all numbers.

Step1:

LCM(946, 748) = 32164

GCD(946, 748) = ( 946 x 748 ) / 32164

= 946 / 748

= 946

Step2:

LCM(22, 689) = 15158

GCD(22, 689) = ( 22 x 689 ) / 15158

= 22 / 689

= 22

Step3:

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

= 1 / 299

= 1

So, Greatest Common Divisor of 946, 748, 689, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 639, 373, 950
• GCD of 730, 978, 305, 969
• GCD of 685, 361, 556, 849
• GCD of 278, 956, 337, 676
• GCD of 230, 726, 901, 502

Given numbers are 946, 748, 689, 299
The greatest common divisor of numbers 946, 748, 689, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 748, 689, 299 is 1.

1. What is the GCD of 946, 748, 689, 299?

GCD of given numbers 946, 748, 689, 299 is 1

2. How to calculate the greatest common divisor of 946, 748, 689, 299?

We can find the highest common divisor of 946, 748, 689, 299 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 946, 748, 689, 299 i.e 1.

3. How can I use the GCD of 946, 748, 689, 299Calculator?

Out the numbers 946, 748, 689, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.