GCD of 120, 898, 313, 958 Calculator

Given Input numbers are 120, 898, 313, 958

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (120, 898, 313, 958) = 1.

Given numbers are 120, 898, 313, 958

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 898 are 2 x 449

Prime factors of 313 are 313

Prime factors of 958 are 2 x 479

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

Given numbers are 120, 898, 313, 958

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

Apply this formula for all numbers.

Step1:

LCM(120, 898) = 53880

GCD(120, 898) = ( 120 x 898 ) / 53880

= 120 / 898

= 120

Step2:

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

= 2 / 313

= 2

Step3:

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

= 1 / 958

= 1

So, Greatest Common Divisor of 120, 898, 313, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 395, 172, 726
• GCD of 636, 425, 394, 520
• GCD of 466, 887, 848, 469
• GCD of 501, 391, 975, 308
• GCD of 919, 395, 170, 425

Given numbers are 120, 898, 313, 958
The greatest common divisor of numbers 120, 898, 313, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 898, 313, 958 is 1.

1. What is the GCD of 120, 898, 313, 958?

GCD of given numbers 120, 898, 313, 958 is 1

2. How to calculate the greatest common divisor of 120, 898, 313, 958?

We can find the highest common divisor of 120, 898, 313, 958 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 120, 898, 313, 958 i.e 1.

3. How can I use the GCD of 120, 898, 313, 958Calculator?

Out the numbers 120, 898, 313, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.