Highest Common Factor of 899, 55497 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 899, 55497 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 899, 55497 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 899, 55497 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 899, 55497 is 1.
HCF(899, 55497) = 1
HCF of 899, 55497 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 899, 55497 is 1.
Highest Common Factor of 899,55497 is 1
Step 1: Since 55497 > 899, we apply the division lemma to 55497 and 899, to get
55497 = 899 x 61 + 658
Step 2: Since the reminder 899 ≠ 0, we apply division lemma to 658 and 899, to get
899 = 658 x 1 + 241
Step 3: We consider the new divisor 658 and the new remainder 241, and apply the division lemma to get
658 = 241 x 2 + 176
We consider the new divisor 241 and the new remainder 176,and apply the division lemma to get
241 = 176 x 1 + 65
We consider the new divisor 176 and the new remainder 65,and apply the division lemma to get
176 = 65 x 2 + 46
We consider the new divisor 65 and the new remainder 46,and apply the division lemma to get
65 = 46 x 1 + 19
We consider the new divisor 46 and the new remainder 19,and apply the division lemma to get
46 = 19 x 2 + 8
We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get
19 = 8 x 2 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 899 and 55497 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(46,19) = HCF(65,46) = HCF(176,65) = HCF(241,176) = HCF(658,241) = HCF(899,658) = HCF(55497,899) .
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Frequently Asked Questions on HCF of 899, 55497 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 899, 55497?
Answer: HCF of 899, 55497 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 899, 55497 using Euclid's Algorithm?
Answer: For arbitrary numbers 899, 55497 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.