Highest Common Factor of 8497, 8817 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 8497, 8817 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8497, 8817 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 8497, 8817 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 8497, 8817 is 1.
HCF(8497, 8817) = 1
HCF of 8497, 8817 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8497, 8817 is 1.
Highest Common Factor of 8497,8817 is 1
Step 1: Since 8817 > 8497, we apply the division lemma to 8817 and 8497, to get
8817 = 8497 x 1 + 320
Step 2: Since the reminder 8497 ≠ 0, we apply division lemma to 320 and 8497, to get
8497 = 320 x 26 + 177
Step 3: We consider the new divisor 320 and the new remainder 177, and apply the division lemma to get
320 = 177 x 1 + 143
We consider the new divisor 177 and the new remainder 143,and apply the division lemma to get
177 = 143 x 1 + 34
We consider the new divisor 143 and the new remainder 34,and apply the division lemma to get
143 = 34 x 4 + 7
We consider the new divisor 34 and the new remainder 7,and apply the division lemma to get
34 = 7 x 4 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8497 and 8817 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(34,7) = HCF(143,34) = HCF(177,143) = HCF(320,177) = HCF(8497,320) = HCF(8817,8497) .
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Frequently Asked Questions on HCF of 8497, 8817 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 8497, 8817?
Answer: HCF of 8497, 8817 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8497, 8817 using Euclid's Algorithm?
Answer: For arbitrary numbers 8497, 8817 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.