Highest Common Factor of 5205, 4829, 96204 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 5205, 4829, 96204 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5205, 4829, 96204 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 5205, 4829, 96204 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 5205, 4829, 96204 is 1.
HCF(5205, 4829, 96204) = 1
HCF of 5205, 4829, 96204 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5205, 4829, 96204 is 1.
Highest Common Factor of 5205,4829,96204 is 1
Step 1: Since 5205 > 4829, we apply the division lemma to 5205 and 4829, to get
5205 = 4829 x 1 + 376
Step 2: Since the reminder 4829 ≠ 0, we apply division lemma to 376 and 4829, to get
4829 = 376 x 12 + 317
Step 3: We consider the new divisor 376 and the new remainder 317, and apply the division lemma to get
376 = 317 x 1 + 59
We consider the new divisor 317 and the new remainder 59,and apply the division lemma to get
317 = 59 x 5 + 22
We consider the new divisor 59 and the new remainder 22,and apply the division lemma to get
59 = 22 x 2 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5205 and 4829 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(59,22) = HCF(317,59) = HCF(376,317) = HCF(4829,376) = HCF(5205,4829) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96204 > 1, we apply the division lemma to 96204 and 1, to get
96204 = 1 x 96204 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96204 is 1
Notice that 1 = HCF(96204,1) .
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Frequently Asked Questions on HCF of 5205, 4829, 96204 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 5205, 4829, 96204?
Answer: HCF of 5205, 4829, 96204 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5205, 4829, 96204 using Euclid's Algorithm?
Answer: For arbitrary numbers 5205, 4829, 96204 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.