Highest Common Factor of 5497, 8091 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 5497, 8091 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5497, 8091 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 5497, 8091 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 5497, 8091 is 1.
HCF(5497, 8091) = 1
HCF of 5497, 8091 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5497, 8091 is 1.
Highest Common Factor of 5497,8091 is 1
Step 1: Since 8091 > 5497, we apply the division lemma to 8091 and 5497, to get
8091 = 5497 x 1 + 2594
Step 2: Since the reminder 5497 ≠ 0, we apply division lemma to 2594 and 5497, to get
5497 = 2594 x 2 + 309
Step 3: We consider the new divisor 2594 and the new remainder 309, and apply the division lemma to get
2594 = 309 x 8 + 122
We consider the new divisor 309 and the new remainder 122,and apply the division lemma to get
309 = 122 x 2 + 65
We consider the new divisor 122 and the new remainder 65,and apply the division lemma to get
122 = 65 x 1 + 57
We consider the new divisor 65 and the new remainder 57,and apply the division lemma to get
65 = 57 x 1 + 8
We consider the new divisor 57 and the new remainder 8,and apply the division lemma to get
57 = 8 x 7 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5497 and 8091 is 1
Notice that 1 = HCF(8,1) = HCF(57,8) = HCF(65,57) = HCF(122,65) = HCF(309,122) = HCF(2594,309) = HCF(5497,2594) = HCF(8091,5497) .
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Frequently Asked Questions on HCF of 5497, 8091 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 5497, 8091?
Answer: HCF of 5497, 8091 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5497, 8091 using Euclid's Algorithm?
Answer: For arbitrary numbers 5497, 8091 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.