Highest Common Factor of 5837, 9827, 69963 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 5837, 9827, 69963 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5837, 9827, 69963 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 5837, 9827, 69963 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 5837, 9827, 69963 is 1.
HCF(5837, 9827, 69963) = 1
HCF of 5837, 9827, 69963 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5837, 9827, 69963 is 1.
Highest Common Factor of 5837,9827,69963 is 1
Step 1: Since 9827 > 5837, we apply the division lemma to 9827 and 5837, to get
9827 = 5837 x 1 + 3990
Step 2: Since the reminder 5837 ≠ 0, we apply division lemma to 3990 and 5837, to get
5837 = 3990 x 1 + 1847
Step 3: We consider the new divisor 3990 and the new remainder 1847, and apply the division lemma to get
3990 = 1847 x 2 + 296
We consider the new divisor 1847 and the new remainder 296,and apply the division lemma to get
1847 = 296 x 6 + 71
We consider the new divisor 296 and the new remainder 71,and apply the division lemma to get
296 = 71 x 4 + 12
We consider the new divisor 71 and the new remainder 12,and apply the division lemma to get
71 = 12 x 5 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5837 and 9827 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(71,12) = HCF(296,71) = HCF(1847,296) = HCF(3990,1847) = HCF(5837,3990) = HCF(9827,5837) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 69963 > 1, we apply the division lemma to 69963 and 1, to get
69963 = 1 x 69963 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69963 is 1
Notice that 1 = HCF(69963,1) .
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Frequently Asked Questions on HCF of 5837, 9827, 69963 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 5837, 9827, 69963?
Answer: HCF of 5837, 9827, 69963 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5837, 9827, 69963 using Euclid's Algorithm?
Answer: For arbitrary numbers 5837, 9827, 69963 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.