Highest Common Factor of 3989, 873 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 3989, 873 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3989, 873 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 3989, 873 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 3989, 873 is 1.
HCF(3989, 873) = 1
HCF of 3989, 873 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3989, 873 is 1.
Highest Common Factor of 3989,873 is 1
Step 1: Since 3989 > 873, we apply the division lemma to 3989 and 873, to get
3989 = 873 x 4 + 497
Step 2: Since the reminder 873 ≠ 0, we apply division lemma to 497 and 873, to get
873 = 497 x 1 + 376
Step 3: We consider the new divisor 497 and the new remainder 376, and apply the division lemma to get
497 = 376 x 1 + 121
We consider the new divisor 376 and the new remainder 121,and apply the division lemma to get
376 = 121 x 3 + 13
We consider the new divisor 121 and the new remainder 13,and apply the division lemma to get
121 = 13 x 9 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3989 and 873 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(121,13) = HCF(376,121) = HCF(497,376) = HCF(873,497) = HCF(3989,873) .
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Frequently Asked Questions on HCF of 3989, 873 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 3989, 873?
Answer: HCF of 3989, 873 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3989, 873 using Euclid's Algorithm?
Answer: For arbitrary numbers 3989, 873 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.