Highest Common Factor of 9793, 1485, 11815 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 9793, 1485, 11815 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9793, 1485, 11815 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 9793, 1485, 11815 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 9793, 1485, 11815 is 1.

HCF(9793, 1485, 11815) = 1

HCF of 9793, 1485, 11815 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 9793, 1485, 11815 is 1.

Highest Common Factor of 9793,1485,11815 using Euclid's algorithm

Highest Common Factor of 9793,1485,11815 is 1

Step 1: Since 9793 > 1485, we apply the division lemma to 9793 and 1485, to get

9793 = 1485 x 6 + 883

Step 2: Since the reminder 1485 ≠ 0, we apply division lemma to 883 and 1485, to get

1485 = 883 x 1 + 602

Step 3: We consider the new divisor 883 and the new remainder 602, and apply the division lemma to get

883 = 602 x 1 + 281

We consider the new divisor 602 and the new remainder 281,and apply the division lemma to get

602 = 281 x 2 + 40

We consider the new divisor 281 and the new remainder 40,and apply the division lemma to get

281 = 40 x 7 + 1

We consider the new divisor 40 and the new remainder 1,and apply the division lemma to get

40 = 1 x 40 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9793 and 1485 is 1

Notice that 1 = HCF(40,1) = HCF(281,40) = HCF(602,281) = HCF(883,602) = HCF(1485,883) = HCF(9793,1485) .

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

Step 1: Since 11815 > 1, we apply the division lemma to 11815 and 1, to get

11815 = 1 x 11815 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11815 is 1

Notice that 1 = HCF(11815,1) .

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Frequently Asked Questions on HCF of 9793, 1485, 11815 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 9793, 1485, 11815?

Answer: HCF of 9793, 1485, 11815 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9793, 1485, 11815 using Euclid's Algorithm?

Answer: For arbitrary numbers 9793, 1485, 11815 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.