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GCD of 35, 77, 21, 48 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 35, 77, 21, 48 quickly. Get the easiest ways to solve the greatest common divisor of 35, 77, 21, 48 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 35, 77, 21, 48 with Factoring?

Given Input numbers are 35, 77, 21, 48

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

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48


GCD of numbers is the greatest common divisor

So, the GCD (35, 77, 21, 48) = 1.

Find GCD of 35, 77, 21, 48 using Prime Factorization

Given numbers are 35, 77, 21, 48

The list of prime factors of all numbers are

Prime factors of 35 are 5 x 7

Prime factors of 77 are 7 x 11

Prime factors of 21 are 3 x 7

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

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

Steps to Calculate GCD of 35, 77, 21, 48 using LCM Formula

Given numbers are 35, 77, 21, 48

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

Apply this formula for all numbers.

Step1:

LCM(35, 77) = 385

GCD(35, 77) = ( 35 x 77 ) / 385

= 35 / 77

= 35


Step2:

LCM(7, 21) = 21

GCD(7, 21) = ( 7 x 21 ) / 21

= 7 / 21

= 7


Step3:

LCM(7, 48) = 336

GCD(7, 48) = ( 7 x 48 ) / 336

= 7 / 48

= 7


So, Greatest Common Divisor of 35, 77, 21, 48 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 35, 77, 21, 48

Given numbers are 35, 77, 21, 48
The greatest common divisor of numbers 35, 77, 21, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 35, 77, 21, 48 is 1.

FAQs on GCD of 35, 77, 21, 48 Calculator

1. What is the GCD of 35, 77, 21, 48?

GCD of given numbers 35, 77, 21, 48 is 1


2. How to calculate the greatest common divisor of 35, 77, 21, 48?

We can find the highest common divisor of 35, 77, 21, 48 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 35, 77, 21, 48 i.e 1.


3. How can I use the GCD of 35, 77, 21, 48Calculator?

Out the numbers 35, 77, 21, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.