GCD of 749, 364, 700, 658 Calculator

Given Input numbers are 749, 364, 700, 658

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (749, 364, 700, 658) = 7.

Given numbers are 749, 364, 700, 658

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 364 are 2 x 2 x 7 x 13

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

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 7¹

Therefore, GCD of 749, 364, 700, 658 is 7.

Given numbers are 749, 364, 700, 658

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

Apply this formula for all numbers.

Step1:

LCM(749, 364) = 38948

GCD(749, 364) = ( 749 x 364 ) / 38948

= 749 / 364

= 749

Step2:

LCM(7, 700) = 700

GCD(7, 700) = ( 7 x 700 ) / 700

= 7 / 700

= 7

Step3:

LCM(7, 658) = 658

GCD(7, 658) = ( 7 x 658 ) / 658

= 7 / 658

= 7

So, Greatest Common Divisor of 749, 364, 700, 658 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 424, 566, 701
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• GCD of 277, 277, 883, 597
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• GCD of 434, 395, 423, 176

Given numbers are 749, 364, 700, 658
The greatest common divisor of numbers 749, 364, 700, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 364, 700, 658 is 7.

1. What is the GCD of 749, 364, 700, 658?

GCD of given numbers 749, 364, 700, 658 is 7

2. How to calculate the greatest common divisor of 749, 364, 700, 658?

We can find the highest common divisor of 749, 364, 700, 658 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 749, 364, 700, 658 i.e 7.

3. How can I use the GCD of 749, 364, 700, 658Calculator?

Out the numbers 749, 364, 700, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.