Highest Common Factor of 9803, 3433, 46961 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 9803, 3433, 46961 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9803, 3433, 46961 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 9803, 3433, 46961 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 9803, 3433, 46961 is 1.

HCF(9803, 3433, 46961) = 1

HCF of 9803, 3433, 46961 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 9803, 3433, 46961 is 1.

Highest Common Factor of 9803,3433,46961 using Euclid's algorithm

Highest Common Factor of 9803,3433,46961 is 1

Step 1: Since 9803 > 3433, we apply the division lemma to 9803 and 3433, to get

9803 = 3433 x 2 + 2937

Step 2: Since the reminder 3433 ≠ 0, we apply division lemma to 2937 and 3433, to get

3433 = 2937 x 1 + 496

Step 3: We consider the new divisor 2937 and the new remainder 496, and apply the division lemma to get

2937 = 496 x 5 + 457

We consider the new divisor 496 and the new remainder 457,and apply the division lemma to get

496 = 457 x 1 + 39

We consider the new divisor 457 and the new remainder 39,and apply the division lemma to get

457 = 39 x 11 + 28

We consider the new divisor 39 and the new remainder 28,and apply the division lemma to get

39 = 28 x 1 + 11

We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get

28 = 11 x 2 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9803 and 3433 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(39,28) = HCF(457,39) = HCF(496,457) = HCF(2937,496) = HCF(3433,2937) = HCF(9803,3433) .

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

Step 1: Since 46961 > 1, we apply the division lemma to 46961 and 1, to get

46961 = 1 x 46961 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46961 is 1

Notice that 1 = HCF(46961,1) .

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Frequently Asked Questions on HCF of 9803, 3433, 46961 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 9803, 3433, 46961?

Answer: HCF of 9803, 3433, 46961 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9803, 3433, 46961 using Euclid's Algorithm?

Answer: For arbitrary numbers 9803, 3433, 46961 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.