Highest Common Factor of 887, 65399 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 887, 65399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 887, 65399 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 887, 65399 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 887, 65399 is 1.
HCF(887, 65399) = 1
HCF of 887, 65399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 887, 65399 is 1.
Highest Common Factor of 887,65399 is 1
Step 1: Since 65399 > 887, we apply the division lemma to 65399 and 887, to get
65399 = 887 x 73 + 648
Step 2: Since the reminder 887 ≠ 0, we apply division lemma to 648 and 887, to get
887 = 648 x 1 + 239
Step 3: We consider the new divisor 648 and the new remainder 239, and apply the division lemma to get
648 = 239 x 2 + 170
We consider the new divisor 239 and the new remainder 170,and apply the division lemma to get
239 = 170 x 1 + 69
We consider the new divisor 170 and the new remainder 69,and apply the division lemma to get
170 = 69 x 2 + 32
We consider the new divisor 69 and the new remainder 32,and apply the division lemma to get
69 = 32 x 2 + 5
We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get
32 = 5 x 6 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 887 and 65399 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(69,32) = HCF(170,69) = HCF(239,170) = HCF(648,239) = HCF(887,648) = HCF(65399,887) .
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Frequently Asked Questions on HCF of 887, 65399 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 887, 65399?
Answer: HCF of 887, 65399 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 887, 65399 using Euclid's Algorithm?
Answer: For arbitrary numbers 887, 65399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.