GCD of 361, 460, 980, 750 Calculator

Given Input numbers are 361, 460, 980, 750

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

GCD of numbers is the greatest common divisor

So, the GCD (361, 460, 980, 750) = 1.

Given numbers are 361, 460, 980, 750

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

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

Given numbers are 361, 460, 980, 750

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

Apply this formula for all numbers.

Step1:

LCM(361, 460) = 166060

GCD(361, 460) = ( 361 x 460 ) / 166060

= 361 / 460

= 361

Step2:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

Step3:

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

= 1 / 750

= 1

So, Greatest Common Divisor of 361, 460, 980, 750 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 774, 843, 105
• GCD of 493, 869, 675, 213
• GCD of 836, 725, 846, 185
• GCD of 587, 348, 992, 810
• GCD of 598, 382, 717, 814

Given numbers are 361, 460, 980, 750
The greatest common divisor of numbers 361, 460, 980, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 460, 980, 750 is 1.

1. What is the GCD of 361, 460, 980, 750?

GCD of given numbers 361, 460, 980, 750 is 1

2. How to calculate the greatest common divisor of 361, 460, 980, 750?

We can find the highest common divisor of 361, 460, 980, 750 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 361, 460, 980, 750 i.e 1.

3. How can I use the GCD of 361, 460, 980, 750Calculator?

Out the numbers 361, 460, 980, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.