Highest Common Factor of 898, 647, 17 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 898, 647, 17 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 898, 647, 17 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 898, 647, 17 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 898, 647, 17 is 1.
HCF(898, 647, 17) = 1
HCF of 898, 647, 17 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 898, 647, 17 is 1.
Highest Common Factor of 898,647,17 is 1
Step 1: Since 898 > 647, we apply the division lemma to 898 and 647, to get
898 = 647 x 1 + 251
Step 2: Since the reminder 647 ≠ 0, we apply division lemma to 251 and 647, to get
647 = 251 x 2 + 145
Step 3: We consider the new divisor 251 and the new remainder 145, and apply the division lemma to get
251 = 145 x 1 + 106
We consider the new divisor 145 and the new remainder 106,and apply the division lemma to get
145 = 106 x 1 + 39
We consider the new divisor 106 and the new remainder 39,and apply the division lemma to get
106 = 39 x 2 + 28
We consider the new divisor 39 and the new remainder 28,and apply the division lemma to get
39 = 28 x 1 + 11
We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get
28 = 11 x 2 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 898 and 647 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(39,28) = HCF(106,39) = HCF(145,106) = HCF(251,145) = HCF(647,251) = HCF(898,647) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17 > 1, we apply the division lemma to 17 and 1, to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17 is 1
Notice that 1 = HCF(17,1) .
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Frequently Asked Questions on HCF of 898, 647, 17 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 898, 647, 17?
Answer: HCF of 898, 647, 17 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 898, 647, 17 using Euclid's Algorithm?
Answer: For arbitrary numbers 898, 647, 17 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.