Highest Common Factor of 5899, 9855 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 5899, 9855 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5899, 9855 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 5899, 9855 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 5899, 9855 is 1.
HCF(5899, 9855) = 1
HCF of 5899, 9855 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5899, 9855 is 1.
Highest Common Factor of 5899,9855 is 1
Step 1: Since 9855 > 5899, we apply the division lemma to 9855 and 5899, to get
9855 = 5899 x 1 + 3956
Step 2: Since the reminder 5899 ≠ 0, we apply division lemma to 3956 and 5899, to get
5899 = 3956 x 1 + 1943
Step 3: We consider the new divisor 3956 and the new remainder 1943, and apply the division lemma to get
3956 = 1943 x 2 + 70
We consider the new divisor 1943 and the new remainder 70,and apply the division lemma to get
1943 = 70 x 27 + 53
We consider the new divisor 70 and the new remainder 53,and apply the division lemma to get
70 = 53 x 1 + 17
We consider the new divisor 53 and the new remainder 17,and apply the division lemma to get
53 = 17 x 3 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 5899 and 9855 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(53,17) = HCF(70,53) = HCF(1943,70) = HCF(3956,1943) = HCF(5899,3956) = HCF(9855,5899) .
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Frequently Asked Questions on HCF of 5899, 9855 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 5899, 9855?
Answer: HCF of 5899, 9855 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5899, 9855 using Euclid's Algorithm?
Answer: For arbitrary numbers 5899, 9855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.