GCD of 849, 978, 700 Calculator

Given Input numbers are 849, 978, 700

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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

GCD of numbers is the greatest common divisor

So, the GCD (849, 978, 700) = 1.

Given numbers are 849, 978, 700

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 978 are 2 x 3 x 163

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

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

Given numbers are 849, 978, 700

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

Apply this formula for all numbers.

Step1:

LCM(849, 978) = 276774

GCD(849, 978) = ( 849 x 978 ) / 276774

= 849 / 978

= 849

Step2:

LCM(3, 700) = 2100

GCD(3, 700) = ( 3 x 700 ) / 2100

= 3 / 700

= 3

So, Greatest Common Divisor of 849, 978, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 607, 192
• GCD of 276, 534, 742
• GCD of 511, 535, 915
• GCD of 995, 182, 444
• GCD of 312, 756, 984

Given numbers are 849, 978, 700
The greatest common divisor of numbers 849, 978, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 978, 700 is 1.

1. What is the GCD of 849, 978, 700?

GCD of given numbers 849, 978, 700 is 1

2. How to calculate the greatest common divisor of 849, 978, 700?

We can find the highest common divisor of 849, 978, 700 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 849, 978, 700 i.e 1.

3. How can I use the GCD of 849, 978, 700Calculator?

Out the numbers 849, 978, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.