GCD of 860, 736, 992, 120 Calculator

Given Input numbers are 860, 736, 992, 120

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

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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

GCD of numbers is the greatest common divisor

So, the GCD (860, 736, 992, 120) = 4.

Given numbers are 860, 736, 992, 120

The list of prime factors of all numbers are

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

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

The highest common occurrence is 2²

Therefore, GCD of 860, 736, 992, 120 is 4.

Given numbers are 860, 736, 992, 120

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

Apply this formula for all numbers.

Step1:

LCM(860, 736) = 158240

GCD(860, 736) = ( 860 x 736 ) / 158240

= 860 / 736

= 860

Step2:

LCM(4, 992) = 992

GCD(4, 992) = ( 4 x 992 ) / 992

= 4 / 992

= 4

Step3:

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

= 4 / 120

= 4

So, Greatest Common Divisor of 860, 736, 992, 120 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 959, 689, 202
• GCD of 539, 436, 548, 373
• GCD of 647, 584, 202, 594
• GCD of 827, 298, 978, 709
• GCD of 226, 752, 645, 612

Given numbers are 860, 736, 992, 120
The greatest common divisor of numbers 860, 736, 992, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 860, 736, 992, 120 is 4.

1. What is the GCD of 860, 736, 992, 120?

GCD of given numbers 860, 736, 992, 120 is 4

2. How to calculate the greatest common divisor of 860, 736, 992, 120?

We can find the highest common divisor of 860, 736, 992, 120 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 860, 736, 992, 120 i.e 4.

3. How can I use the GCD of 860, 736, 992, 120Calculator?

Out the numbers 860, 736, 992, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.