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
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) 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) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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.