GCD of 748, 350, 971, 699 Calculator

Given Input numbers are 748, 350, 971, 699

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

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 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (748, 350, 971, 699) = 1.

Given numbers are 748, 350, 971, 699

The list of prime factors of all numbers are

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

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 971 are 971

Prime factors of 699 are 3 x 233

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

Given numbers are 748, 350, 971, 699

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

Apply this formula for all numbers.

Step1:

LCM(748, 350) = 130900

GCD(748, 350) = ( 748 x 350 ) / 130900

= 748 / 350

= 748

Step2:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

Step3:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1

So, Greatest Common Divisor of 748, 350, 971, 699 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 647, 280, 563
• GCD of 357, 763, 661, 414
• GCD of 658, 549, 561, 182
• GCD of 837, 888, 385, 254
• GCD of 373, 321, 323, 519

Given numbers are 748, 350, 971, 699
The greatest common divisor of numbers 748, 350, 971, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 350, 971, 699 is 1.

1. What is the GCD of 748, 350, 971, 699?

GCD of given numbers 748, 350, 971, 699 is 1

2. How to calculate the greatest common divisor of 748, 350, 971, 699?

We can find the highest common divisor of 748, 350, 971, 699 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 748, 350, 971, 699 i.e 1.

3. How can I use the GCD of 748, 350, 971, 699Calculator?

Out the numbers 748, 350, 971, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.