GCD of 760, 279, 704, 100 Calculator

Given Input numbers are 760, 279, 704, 100

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (760, 279, 704, 100) = 1.

Given numbers are 760, 279, 704, 100

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 279 are 3 x 3 x 31

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 100 are 2 x 2 x 5 x 5

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

Given numbers are 760, 279, 704, 100

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

Apply this formula for all numbers.

Step1:

LCM(760, 279) = 212040

GCD(760, 279) = ( 760 x 279 ) / 212040

= 760 / 279

= 760

Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 760, 279, 704, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 175, 848, 846
• GCD of 732, 534, 705, 410
• GCD of 787, 140, 774, 235
• GCD of 989, 284, 950, 156
• GCD of 919, 451, 732, 966

Given numbers are 760, 279, 704, 100
The greatest common divisor of numbers 760, 279, 704, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 279, 704, 100 is 1.

1. What is the GCD of 760, 279, 704, 100?

GCD of given numbers 760, 279, 704, 100 is 1

2. How to calculate the greatest common divisor of 760, 279, 704, 100?

We can find the highest common divisor of 760, 279, 704, 100 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 760, 279, 704, 100 i.e 1.

3. How can I use the GCD of 760, 279, 704, 100Calculator?

Out the numbers 760, 279, 704, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.