GCD of 968, 140, 800, 705 Calculator

Given Input numbers are 968, 140, 800, 705

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

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (968, 140, 800, 705) = 1.

Given numbers are 968, 140, 800, 705

The list of prime factors of all numbers are

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

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

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 968, 140, 800, 705

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

Apply this formula for all numbers.

Step1:

LCM(968, 140) = 33880

GCD(968, 140) = ( 968 x 140 ) / 33880

= 968 / 140

= 968

Step2:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

Step3:

LCM(4, 705) = 2820

GCD(4, 705) = ( 4 x 705 ) / 2820

= 4 / 705

= 4

So, Greatest Common Divisor of 968, 140, 800, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 888, 595, 747
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• GCD of 821, 143, 976, 881
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Given numbers are 968, 140, 800, 705
The greatest common divisor of numbers 968, 140, 800, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 140, 800, 705 is 1.

1. What is the GCD of 968, 140, 800, 705?

GCD of given numbers 968, 140, 800, 705 is 1

2. How to calculate the greatest common divisor of 968, 140, 800, 705?

We can find the highest common divisor of 968, 140, 800, 705 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 968, 140, 800, 705 i.e 1.

3. How can I use the GCD of 968, 140, 800, 705Calculator?

Out the numbers 968, 140, 800, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.