Highest Common Factor of 5961, 8365 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 5961, 8365 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5961, 8365 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 5961, 8365 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 5961, 8365 is 1.
HCF(5961, 8365) = 1
HCF of 5961, 8365 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5961, 8365 is 1.
Highest Common Factor of 5961,8365 is 1
Step 1: Since 8365 > 5961, we apply the division lemma to 8365 and 5961, to get
8365 = 5961 x 1 + 2404
Step 2: Since the reminder 5961 ≠ 0, we apply division lemma to 2404 and 5961, to get
5961 = 2404 x 2 + 1153
Step 3: We consider the new divisor 2404 and the new remainder 1153, and apply the division lemma to get
2404 = 1153 x 2 + 98
We consider the new divisor 1153 and the new remainder 98,and apply the division lemma to get
1153 = 98 x 11 + 75
We consider the new divisor 98 and the new remainder 75,and apply the division lemma to get
98 = 75 x 1 + 23
We consider the new divisor 75 and the new remainder 23,and apply the division lemma to get
75 = 23 x 3 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 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 5961 and 8365 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(75,23) = HCF(98,75) = HCF(1153,98) = HCF(2404,1153) = HCF(5961,2404) = HCF(8365,5961) .
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Frequently Asked Questions on HCF of 5961, 8365 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 5961, 8365?
Answer: HCF of 5961, 8365 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5961, 8365 using Euclid's Algorithm?
Answer: For arbitrary numbers 5961, 8365 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.