Highest Common Factor of 865, 6599 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 865, 6599 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 865, 6599 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 865, 6599 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 865, 6599 is 1.
HCF(865, 6599) = 1
HCF of 865, 6599 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 865, 6599 is 1.
Highest Common Factor of 865,6599 is 1
Step 1: Since 6599 > 865, we apply the division lemma to 6599 and 865, to get
6599 = 865 x 7 + 544
Step 2: Since the reminder 865 ≠ 0, we apply division lemma to 544 and 865, to get
865 = 544 x 1 + 321
Step 3: We consider the new divisor 544 and the new remainder 321, and apply the division lemma to get
544 = 321 x 1 + 223
We consider the new divisor 321 and the new remainder 223,and apply the division lemma to get
321 = 223 x 1 + 98
We consider the new divisor 223 and the new remainder 98,and apply the division lemma to get
223 = 98 x 2 + 27
We consider the new divisor 98 and the new remainder 27,and apply the division lemma to get
98 = 27 x 3 + 17
We consider the new divisor 27 and the new remainder 17,and apply the division lemma to get
27 = 17 x 1 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 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 865 and 6599 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(27,17) = HCF(98,27) = HCF(223,98) = HCF(321,223) = HCF(544,321) = HCF(865,544) = HCF(6599,865) .
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Frequently Asked Questions on HCF of 865, 6599 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 865, 6599?
Answer: HCF of 865, 6599 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 865, 6599 using Euclid's Algorithm?
Answer: For arbitrary numbers 865, 6599 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.