Highest Common Factor of 5501, 8401 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 5501, 8401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5501, 8401 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 5501, 8401 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 5501, 8401 is 1.
HCF(5501, 8401) = 1
HCF of 5501, 8401 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5501, 8401 is 1.
Highest Common Factor of 5501,8401 is 1
Step 1: Since 8401 > 5501, we apply the division lemma to 8401 and 5501, to get
8401 = 5501 x 1 + 2900
Step 2: Since the reminder 5501 ≠ 0, we apply division lemma to 2900 and 5501, to get
5501 = 2900 x 1 + 2601
Step 3: We consider the new divisor 2900 and the new remainder 2601, and apply the division lemma to get
2900 = 2601 x 1 + 299
We consider the new divisor 2601 and the new remainder 299,and apply the division lemma to get
2601 = 299 x 8 + 209
We consider the new divisor 299 and the new remainder 209,and apply the division lemma to get
299 = 209 x 1 + 90
We consider the new divisor 209 and the new remainder 90,and apply the division lemma to get
209 = 90 x 2 + 29
We consider the new divisor 90 and the new remainder 29,and apply the division lemma to get
90 = 29 x 3 + 3
We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get
29 = 3 x 9 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5501 and 8401 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(90,29) = HCF(209,90) = HCF(299,209) = HCF(2601,299) = HCF(2900,2601) = HCF(5501,2900) = HCF(8401,5501) .
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Frequently Asked Questions on HCF of 5501, 8401 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 5501, 8401?
Answer: HCF of 5501, 8401 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5501, 8401 using Euclid's Algorithm?
Answer: For arbitrary numbers 5501, 8401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
