Highest Common Factor of 8595, 1026 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 8595, 1026 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 8595, 1026 is 9 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 8595, 1026 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 8595, 1026 is 9.
HCF(8595, 1026) = 9
HCF of 8595, 1026 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8595, 1026 is 9.
Highest Common Factor of 8595,1026 is 9
Step 1: Since 8595 > 1026, we apply the division lemma to 8595 and 1026, to get
8595 = 1026 x 8 + 387
Step 2: Since the reminder 1026 ≠ 0, we apply division lemma to 387 and 1026, to get
1026 = 387 x 2 + 252
Step 3: We consider the new divisor 387 and the new remainder 252, and apply the division lemma to get
387 = 252 x 1 + 135
We consider the new divisor 252 and the new remainder 135,and apply the division lemma to get
252 = 135 x 1 + 117
We consider the new divisor 135 and the new remainder 117,and apply the division lemma to get
135 = 117 x 1 + 18
We consider the new divisor 117 and the new remainder 18,and apply the division lemma to get
117 = 18 x 6 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 8595 and 1026 is 9
Notice that 9 = HCF(18,9) = HCF(117,18) = HCF(135,117) = HCF(252,135) = HCF(387,252) = HCF(1026,387) = HCF(8595,1026) .
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Frequently Asked Questions on HCF of 8595, 1026 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 8595, 1026?
Answer: HCF of 8595, 1026 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8595, 1026 using Euclid's Algorithm?
Answer: For arbitrary numbers 8595, 1026 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.