GCD of 802, 200, 700, 959 Calculator

Given Input numbers are 802, 200, 700, 959

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

GCD of numbers is the greatest common divisor

So, the GCD (802, 200, 700, 959) = 1.

Given numbers are 802, 200, 700, 959

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 959 are 7 x 137

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

Given numbers are 802, 200, 700, 959

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

Apply this formula for all numbers.

Step1:

LCM(802, 200) = 80200

GCD(802, 200) = ( 802 x 200 ) / 80200

= 802 / 200

= 802

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

Step3:

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

= 2 / 959

= 2

So, Greatest Common Divisor of 802, 200, 700, 959 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 207, 894, 383
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• GCD of 947, 500, 887, 834
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Given numbers are 802, 200, 700, 959
The greatest common divisor of numbers 802, 200, 700, 959 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 200, 700, 959 is 1.

1. What is the GCD of 802, 200, 700, 959?

GCD of given numbers 802, 200, 700, 959 is 1

2. How to calculate the greatest common divisor of 802, 200, 700, 959?

We can find the highest common divisor of 802, 200, 700, 959 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 802, 200, 700, 959 i.e 1.

3. How can I use the GCD of 802, 200, 700, 959Calculator?

Out the numbers 802, 200, 700, 959 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.