Highest Common Factor of 8589, 2085 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 8589, 2085 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8589, 2085 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 8589, 2085 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 8589, 2085 is 3.
HCF(8589, 2085) = 3
HCF of 8589, 2085 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8589, 2085 is 3.
Highest Common Factor of 8589,2085 is 3
Step 1: Since 8589 > 2085, we apply the division lemma to 8589 and 2085, to get
8589 = 2085 x 4 + 249
Step 2: Since the reminder 2085 ≠ 0, we apply division lemma to 249 and 2085, to get
2085 = 249 x 8 + 93
Step 3: We consider the new divisor 249 and the new remainder 93, and apply the division lemma to get
249 = 93 x 2 + 63
We consider the new divisor 93 and the new remainder 63,and apply the division lemma to get
93 = 63 x 1 + 30
We consider the new divisor 63 and the new remainder 30,and apply the division lemma to get
63 = 30 x 2 + 3
We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get
30 = 3 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8589 and 2085 is 3
Notice that 3 = HCF(30,3) = HCF(63,30) = HCF(93,63) = HCF(249,93) = HCF(2085,249) = HCF(8589,2085) .
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Frequently Asked Questions on HCF of 8589, 2085 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 8589, 2085?
Answer: HCF of 8589, 2085 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8589, 2085 using Euclid's Algorithm?
Answer: For arbitrary numbers 8589, 2085 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.