GCD of 120, 392, 261, 975 Calculator

Given Input numbers are 120, 392, 261, 975

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (120, 392, 261, 975) = 1.

Given numbers are 120, 392, 261, 975

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 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 261 are 3 x 3 x 29

Prime factors of 975 are 3 x 5 x 5 x 13

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

Given numbers are 120, 392, 261, 975

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

Apply this formula for all numbers.

Step1:

LCM(120, 392) = 5880

GCD(120, 392) = ( 120 x 392 ) / 5880

= 120 / 392

= 120

Step2:

LCM(8, 261) = 2088

GCD(8, 261) = ( 8 x 261 ) / 2088

= 8 / 261

= 8

Step3:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

So, Greatest Common Divisor of 120, 392, 261, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 147, 855, 107
• GCD of 170, 292, 375, 573
• GCD of 161, 312, 682, 866
• GCD of 519, 558, 481, 445
• GCD of 571, 222, 876, 592

Given numbers are 120, 392, 261, 975
The greatest common divisor of numbers 120, 392, 261, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 392, 261, 975 is 1.

1. What is the GCD of 120, 392, 261, 975?

GCD of given numbers 120, 392, 261, 975 is 1

2. How to calculate the greatest common divisor of 120, 392, 261, 975?

We can find the highest common divisor of 120, 392, 261, 975 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, 392, 261, 975 i.e 1.

3. How can I use the GCD of 120, 392, 261, 975Calculator?

Out the numbers 120, 392, 261, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.