Highest Common Factor of 873, 559, 469 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 873, 559, 469 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 873, 559, 469 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 873, 559, 469 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 873, 559, 469 is 1.
HCF(873, 559, 469) = 1
HCF of 873, 559, 469 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 873, 559, 469 is 1.
Highest Common Factor of 873,559,469 is 1
Step 1: Since 873 > 559, we apply the division lemma to 873 and 559, to get
873 = 559 x 1 + 314
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 314 and 559, to get
559 = 314 x 1 + 245
Step 3: We consider the new divisor 314 and the new remainder 245, and apply the division lemma to get
314 = 245 x 1 + 69
We consider the new divisor 245 and the new remainder 69,and apply the division lemma to get
245 = 69 x 3 + 38
We consider the new divisor 69 and the new remainder 38,and apply the division lemma to get
69 = 38 x 1 + 31
We consider the new divisor 38 and the new remainder 31,and apply the division lemma to get
38 = 31 x 1 + 7
We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get
31 = 7 x 4 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 873 and 559 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(38,31) = HCF(69,38) = HCF(245,69) = HCF(314,245) = HCF(559,314) = HCF(873,559) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 469 > 1, we apply the division lemma to 469 and 1, to get
469 = 1 x 469 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 469 is 1
Notice that 1 = HCF(469,1) .
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Frequently Asked Questions on HCF of 873, 559, 469 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 873, 559, 469?
Answer: HCF of 873, 559, 469 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 873, 559, 469 using Euclid's Algorithm?
Answer: For arbitrary numbers 873, 559, 469 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.