Highest Common Factor of 661, 5873 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 661, 5873 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 661, 5873 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 661, 5873 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 661, 5873 is 1.
HCF(661, 5873) = 1
HCF of 661, 5873 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 661, 5873 is 1.
Highest Common Factor of 661,5873 is 1
Step 1: Since 5873 > 661, we apply the division lemma to 5873 and 661, to get
5873 = 661 x 8 + 585
Step 2: Since the reminder 661 ≠ 0, we apply division lemma to 585 and 661, to get
661 = 585 x 1 + 76
Step 3: We consider the new divisor 585 and the new remainder 76, and apply the division lemma to get
585 = 76 x 7 + 53
We consider the new divisor 76 and the new remainder 53,and apply the division lemma to get
76 = 53 x 1 + 23
We consider the new divisor 53 and the new remainder 23,and apply the division lemma to get
53 = 23 x 2 + 7
We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get
23 = 7 x 3 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 661 and 5873 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(53,23) = HCF(76,53) = HCF(585,76) = HCF(661,585) = HCF(5873,661) .
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Frequently Asked Questions on HCF of 661, 5873 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 661, 5873?
Answer: HCF of 661, 5873 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 661, 5873 using Euclid's Algorithm?
Answer: For arbitrary numbers 661, 5873 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.