Highest Common Factor of 9811, 5403 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 9811, 5403 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9811, 5403 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 9811, 5403 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 9811, 5403 is 1.
HCF(9811, 5403) = 1
HCF of 9811, 5403 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9811, 5403 is 1.
Highest Common Factor of 9811,5403 is 1
Step 1: Since 9811 > 5403, we apply the division lemma to 9811 and 5403, to get
9811 = 5403 x 1 + 4408
Step 2: Since the reminder 5403 ≠ 0, we apply division lemma to 4408 and 5403, to get
5403 = 4408 x 1 + 995
Step 3: We consider the new divisor 4408 and the new remainder 995, and apply the division lemma to get
4408 = 995 x 4 + 428
We consider the new divisor 995 and the new remainder 428,and apply the division lemma to get
995 = 428 x 2 + 139
We consider the new divisor 428 and the new remainder 139,and apply the division lemma to get
428 = 139 x 3 + 11
We consider the new divisor 139 and the new remainder 11,and apply the division lemma to get
139 = 11 x 12 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 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 9811 and 5403 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(139,11) = HCF(428,139) = HCF(995,428) = HCF(4408,995) = HCF(5403,4408) = HCF(9811,5403) .
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Frequently Asked Questions on HCF of 9811, 5403 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 9811, 5403?
Answer: HCF of 9811, 5403 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9811, 5403 using Euclid's Algorithm?
Answer: For arbitrary numbers 9811, 5403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
