Highest Common Factor of 885, 5989 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 885, 5989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 885, 5989 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 885, 5989 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 885, 5989 is 1.
HCF(885, 5989) = 1
HCF of 885, 5989 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 885, 5989 is 1.
Highest Common Factor of 885,5989 is 1
Step 1: Since 5989 > 885, we apply the division lemma to 5989 and 885, to get
5989 = 885 x 6 + 679
Step 2: Since the reminder 885 ≠ 0, we apply division lemma to 679 and 885, to get
885 = 679 x 1 + 206
Step 3: We consider the new divisor 679 and the new remainder 206, and apply the division lemma to get
679 = 206 x 3 + 61
We consider the new divisor 206 and the new remainder 61,and apply the division lemma to get
206 = 61 x 3 + 23
We consider the new divisor 61 and the new remainder 23,and apply the division lemma to get
61 = 23 x 2 + 15
We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get
23 = 15 x 1 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 885 and 5989 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(61,23) = HCF(206,61) = HCF(679,206) = HCF(885,679) = HCF(5989,885) .
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Frequently Asked Questions on HCF of 885, 5989 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 885, 5989?
Answer: HCF of 885, 5989 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 885, 5989 using Euclid's Algorithm?
Answer: For arbitrary numbers 885, 5989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.