GCD of 700, 791, 973, 154 Calculator

Given Input numbers are 700, 791, 973, 154

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

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 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

GCD of numbers is the greatest common divisor

So, the GCD (700, 791, 973, 154) = 7.

Given numbers are 700, 791, 973, 154

The list of prime factors of all numbers are

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

Prime factors of 791 are 7 x 113

Prime factors of 973 are 7 x 139

Prime factors of 154 are 2 x 7 x 11

The highest common occurrence is 7¹

Therefore, GCD of 700, 791, 973, 154 is 7.

Given numbers are 700, 791, 973, 154

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

Apply this formula for all numbers.

Step1:

LCM(700, 791) = 79100

GCD(700, 791) = ( 700 x 791 ) / 79100

= 700 / 791

= 700

Step2:

LCM(7, 973) = 973

GCD(7, 973) = ( 7 x 973 ) / 973

= 7 / 973

= 7

Step3:

LCM(7, 154) = 154

GCD(7, 154) = ( 7 x 154 ) / 154

= 7 / 154

= 7

So, Greatest Common Divisor of 700, 791, 973, 154 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 554, 149, 887
• GCD of 296, 174, 784, 447
• GCD of 149, 742, 722, 292
• GCD of 832, 826, 466, 865
• GCD of 887, 648, 744, 859

Given numbers are 700, 791, 973, 154
The greatest common divisor of numbers 700, 791, 973, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 791, 973, 154 is 7.

1. What is the GCD of 700, 791, 973, 154?

GCD of given numbers 700, 791, 973, 154 is 7

2. How to calculate the greatest common divisor of 700, 791, 973, 154?

We can find the highest common divisor of 700, 791, 973, 154 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 700, 791, 973, 154 i.e 7.

3. How can I use the GCD of 700, 791, 973, 154Calculator?

Out the numbers 700, 791, 973, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.