Highest Common Factor of 993, 793, 729 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 993, 793, 729 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 993, 793, 729 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 993, 793, 729 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 993, 793, 729 is 1.

HCF(993, 793, 729) = 1

HCF of 993, 793, 729 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 993, 793, 729 is 1.

Highest Common Factor of 993,793,729 using Euclid's algorithm

Highest Common Factor of 993,793,729 is 1

Step 1: Since 993 > 793, we apply the division lemma to 993 and 793, to get

993 = 793 x 1 + 200

Step 2: Since the reminder 793 ≠ 0, we apply division lemma to 200 and 793, to get

793 = 200 x 3 + 193

Step 3: We consider the new divisor 200 and the new remainder 193, and apply the division lemma to get

200 = 193 x 1 + 7

We consider the new divisor 193 and the new remainder 7,and apply the division lemma to get

193 = 7 x 27 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 993 and 793 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(193,7) = HCF(200,193) = HCF(793,200) = HCF(993,793) .

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

Step 1: Since 729 > 1, we apply the division lemma to 729 and 1, to get

729 = 1 x 729 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 729 is 1

Notice that 1 = HCF(729,1) .

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Frequently Asked Questions on HCF of 993, 793, 729 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 993, 793, 729?

Answer: HCF of 993, 793, 729 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 993, 793, 729 using Euclid's Algorithm?

Answer: For arbitrary numbers 993, 793, 729 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.