GCD of 746, 262, 735, 700 Calculator

Given Input numbers are 746, 262, 735, 700

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 (746, 262, 735, 700) = 1.

Given numbers are 746, 262, 735, 700

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 262 are 2 x 131

Prime factors of 735 are 3 x 5 x 7 x 7

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 746, 262, 735, 700

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

Apply this formula for all numbers.

Step1:

LCM(746, 262) = 97726

GCD(746, 262) = ( 746 x 262 ) / 97726

= 746 / 262

= 746

Step2:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 746, 262, 735, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 674, 609, 842
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• GCD of 744, 743, 102, 290

Given numbers are 746, 262, 735, 700
The greatest common divisor of numbers 746, 262, 735, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 262, 735, 700 is 1.

1. What is the GCD of 746, 262, 735, 700?

GCD of given numbers 746, 262, 735, 700 is 1

2. How to calculate the greatest common divisor of 746, 262, 735, 700?

We can find the highest common divisor of 746, 262, 735, 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 746, 262, 735, 700 i.e 1.

3. How can I use the GCD of 746, 262, 735, 700Calculator?

Out the numbers 746, 262, 735, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.