GCD of 140, 104, 976, 992 Calculator

Given Input numbers are 140, 104, 976, 992

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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

GCD of numbers is the greatest common divisor

So, the GCD (140, 104, 976, 992) = 4.

Given numbers are 140, 104, 976, 992

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

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

The highest common occurrence is 2²

Therefore, GCD of 140, 104, 976, 992 is 4.

Given numbers are 140, 104, 976, 992

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

Apply this formula for all numbers.

Step1:

LCM(140, 104) = 3640

GCD(140, 104) = ( 140 x 104 ) / 3640

= 140 / 104

= 140

Step2:

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

= 4 / 976

= 4

Step3:

LCM(4, 992) = 992

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

= 4 / 992

= 4

So, Greatest Common Divisor of 140, 104, 976, 992 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 856, 778, 281
• GCD of 705, 871, 641, 708
• GCD of 587, 227, 497, 462
• GCD of 174, 385, 198, 210
• GCD of 550, 982, 255, 574

Given numbers are 140, 104, 976, 992
The greatest common divisor of numbers 140, 104, 976, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 104, 976, 992 is 4.

1. What is the GCD of 140, 104, 976, 992?

GCD of given numbers 140, 104, 976, 992 is 4

2. How to calculate the greatest common divisor of 140, 104, 976, 992?

We can find the highest common divisor of 140, 104, 976, 992 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 140, 104, 976, 992 i.e 4.

3. How can I use the GCD of 140, 104, 976, 992Calculator?

Out the numbers 140, 104, 976, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.