Highest Common Factor of 5529, 4956 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 5529, 4956 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5529, 4956 is 3 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 5529, 4956 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 5529, 4956 is 3.
HCF(5529, 4956) = 3
HCF of 5529, 4956 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5529, 4956 is 3.
Highest Common Factor of 5529,4956 is 3
Step 1: Since 5529 > 4956, we apply the division lemma to 5529 and 4956, to get
5529 = 4956 x 1 + 573
Step 2: Since the reminder 4956 ≠ 0, we apply division lemma to 573 and 4956, to get
4956 = 573 x 8 + 372
Step 3: We consider the new divisor 573 and the new remainder 372, and apply the division lemma to get
573 = 372 x 1 + 201
We consider the new divisor 372 and the new remainder 201,and apply the division lemma to get
372 = 201 x 1 + 171
We consider the new divisor 201 and the new remainder 171,and apply the division lemma to get
201 = 171 x 1 + 30
We consider the new divisor 171 and the new remainder 30,and apply the division lemma to get
171 = 30 x 5 + 21
We consider the new divisor 30 and the new remainder 21,and apply the division lemma to get
30 = 21 x 1 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5529 and 4956 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(30,21) = HCF(171,30) = HCF(201,171) = HCF(372,201) = HCF(573,372) = HCF(4956,573) = HCF(5529,4956) .
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Frequently Asked Questions on HCF of 5529, 4956 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 5529, 4956?
Answer: HCF of 5529, 4956 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5529, 4956 using Euclid's Algorithm?
Answer: For arbitrary numbers 5529, 4956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.