Highest Common Factor of 9097, 8596 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 9097, 8596 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9097, 8596 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 9097, 8596 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 9097, 8596 is 1.
HCF(9097, 8596) = 1
HCF of 9097, 8596 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9097, 8596 is 1.
Highest Common Factor of 9097,8596 is 1
Step 1: Since 9097 > 8596, we apply the division lemma to 9097 and 8596, to get
9097 = 8596 x 1 + 501
Step 2: Since the reminder 8596 ≠ 0, we apply division lemma to 501 and 8596, to get
8596 = 501 x 17 + 79
Step 3: We consider the new divisor 501 and the new remainder 79, and apply the division lemma to get
501 = 79 x 6 + 27
We consider the new divisor 79 and the new remainder 27,and apply the division lemma to get
79 = 27 x 2 + 25
We consider the new divisor 27 and the new remainder 25,and apply the division lemma to get
27 = 25 x 1 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 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 9097 and 8596 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(27,25) = HCF(79,27) = HCF(501,79) = HCF(8596,501) = HCF(9097,8596) .
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Frequently Asked Questions on HCF of 9097, 8596 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 9097, 8596?
Answer: HCF of 9097, 8596 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9097, 8596 using Euclid's Algorithm?
Answer: For arbitrary numbers 9097, 8596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.