Highest Common Factor of 9591, 8667 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 9591, 8667 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9591, 8667 is 3 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 9591, 8667 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 9591, 8667 is 3.
HCF(9591, 8667) = 3
HCF of 9591, 8667 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9591, 8667 is 3.
Highest Common Factor of 9591,8667 is 3
Step 1: Since 9591 > 8667, we apply the division lemma to 9591 and 8667, to get
9591 = 8667 x 1 + 924
Step 2: Since the reminder 8667 ≠ 0, we apply division lemma to 924 and 8667, to get
8667 = 924 x 9 + 351
Step 3: We consider the new divisor 924 and the new remainder 351, and apply the division lemma to get
924 = 351 x 2 + 222
We consider the new divisor 351 and the new remainder 222,and apply the division lemma to get
351 = 222 x 1 + 129
We consider the new divisor 222 and the new remainder 129,and apply the division lemma to get
222 = 129 x 1 + 93
We consider the new divisor 129 and the new remainder 93,and apply the division lemma to get
129 = 93 x 1 + 36
We consider the new divisor 93 and the new remainder 36,and apply the division lemma to get
93 = 36 x 2 + 21
We consider the new divisor 36 and the new remainder 21,and apply the division lemma to get
36 = 21 x 1 + 15
We consider the new divisor 21 and the new remainder 15,and apply the division lemma to get
21 = 15 x 1 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9591 and 8667 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) = HCF(36,21) = HCF(93,36) = HCF(129,93) = HCF(222,129) = HCF(351,222) = HCF(924,351) = HCF(8667,924) = HCF(9591,8667) .
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Frequently Asked Questions on HCF of 9591, 8667 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 9591, 8667?
Answer: HCF of 9591, 8667 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9591, 8667 using Euclid's Algorithm?
Answer: For arbitrary numbers 9591, 8667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.