Highest Common Factor of 9367, 8545 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 9367, 8545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9367, 8545 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 9367, 8545 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 9367, 8545 is 1.
HCF(9367, 8545) = 1
HCF of 9367, 8545 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9367, 8545 is 1.
Highest Common Factor of 9367,8545 is 1
Step 1: Since 9367 > 8545, we apply the division lemma to 9367 and 8545, to get
9367 = 8545 x 1 + 822
Step 2: Since the reminder 8545 ≠ 0, we apply division lemma to 822 and 8545, to get
8545 = 822 x 10 + 325
Step 3: We consider the new divisor 822 and the new remainder 325, and apply the division lemma to get
822 = 325 x 2 + 172
We consider the new divisor 325 and the new remainder 172,and apply the division lemma to get
325 = 172 x 1 + 153
We consider the new divisor 172 and the new remainder 153,and apply the division lemma to get
172 = 153 x 1 + 19
We consider the new divisor 153 and the new remainder 19,and apply the division lemma to get
153 = 19 x 8 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9367 and 8545 is 1
Notice that 1 = HCF(19,1) = HCF(153,19) = HCF(172,153) = HCF(325,172) = HCF(822,325) = HCF(8545,822) = HCF(9367,8545) .
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Frequently Asked Questions on HCF of 9367, 8545 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 9367, 8545?
Answer: HCF of 9367, 8545 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9367, 8545 using Euclid's Algorithm?
Answer: For arbitrary numbers 9367, 8545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.