Highest Common Factor of 844, 335, 443, 32 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 844, 335, 443, 32 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 844, 335, 443, 32 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 844, 335, 443, 32 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 844, 335, 443, 32 is 1.

HCF(844, 335, 443, 32) = 1

HCF of 844, 335, 443, 32 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 844, 335, 443, 32 is 1.

Highest Common Factor of 844,335,443,32 using Euclid's algorithm

Highest Common Factor of 844,335,443,32 is 1

Step 1: Since 844 > 335, we apply the division lemma to 844 and 335, to get

844 = 335 x 2 + 174

Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 174 and 335, to get

335 = 174 x 1 + 161

Step 3: We consider the new divisor 174 and the new remainder 161, and apply the division lemma to get

174 = 161 x 1 + 13

We consider the new divisor 161 and the new remainder 13,and apply the division lemma to get

161 = 13 x 12 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 844 and 335 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(161,13) = HCF(174,161) = HCF(335,174) = HCF(844,335) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 443 > 1, we apply the division lemma to 443 and 1, to get

443 = 1 x 443 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 443 is 1

Notice that 1 = HCF(443,1) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 32 > 1, we apply the division lemma to 32 and 1, to get

32 = 1 x 32 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32 is 1

Notice that 1 = HCF(32,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 844, 335, 443, 32 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 844, 335, 443, 32?

Answer: HCF of 844, 335, 443, 32 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 844, 335, 443, 32 using Euclid's Algorithm?

Answer: For arbitrary numbers 844, 335, 443, 32 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.