Highest Common Factor of 799, 65009 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 799, 65009 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 799, 65009 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 799, 65009 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 799, 65009 is 1.
HCF(799, 65009) = 1
HCF of 799, 65009 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 799, 65009 is 1.
Highest Common Factor of 799,65009 is 1
Step 1: Since 65009 > 799, we apply the division lemma to 65009 and 799, to get
65009 = 799 x 81 + 290
Step 2: Since the reminder 799 ≠ 0, we apply division lemma to 290 and 799, to get
799 = 290 x 2 + 219
Step 3: We consider the new divisor 290 and the new remainder 219, and apply the division lemma to get
290 = 219 x 1 + 71
We consider the new divisor 219 and the new remainder 71,and apply the division lemma to get
219 = 71 x 3 + 6
We consider the new divisor 71 and the new remainder 6,and apply the division lemma to get
71 = 6 x 11 + 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 799 and 65009 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(71,6) = HCF(219,71) = HCF(290,219) = HCF(799,290) = HCF(65009,799) .
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Frequently Asked Questions on HCF of 799, 65009 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 799, 65009?
Answer: HCF of 799, 65009 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 799, 65009 using Euclid's Algorithm?
Answer: For arbitrary numbers 799, 65009 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.