Highest Common Factor of 5633, 4413 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 5633, 4413 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5633, 4413 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 5633, 4413 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 5633, 4413 is 1.
HCF(5633, 4413) = 1
HCF of 5633, 4413 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5633, 4413 is 1.
Highest Common Factor of 5633,4413 is 1
Step 1: Since 5633 > 4413, we apply the division lemma to 5633 and 4413, to get
5633 = 4413 x 1 + 1220
Step 2: Since the reminder 4413 ≠ 0, we apply division lemma to 1220 and 4413, to get
4413 = 1220 x 3 + 753
Step 3: We consider the new divisor 1220 and the new remainder 753, and apply the division lemma to get
1220 = 753 x 1 + 467
We consider the new divisor 753 and the new remainder 467,and apply the division lemma to get
753 = 467 x 1 + 286
We consider the new divisor 467 and the new remainder 286,and apply the division lemma to get
467 = 286 x 1 + 181
We consider the new divisor 286 and the new remainder 181,and apply the division lemma to get
286 = 181 x 1 + 105
We consider the new divisor 181 and the new remainder 105,and apply the division lemma to get
181 = 105 x 1 + 76
We consider the new divisor 105 and the new remainder 76,and apply the division lemma to get
105 = 76 x 1 + 29
We consider the new divisor 76 and the new remainder 29,and apply the division lemma to get
76 = 29 x 2 + 18
We consider the new divisor 29 and the new remainder 18,and apply the division lemma to get
29 = 18 x 1 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5633 and 4413 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(29,18) = HCF(76,29) = HCF(105,76) = HCF(181,105) = HCF(286,181) = HCF(467,286) = HCF(753,467) = HCF(1220,753) = HCF(4413,1220) = HCF(5633,4413) .
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Frequently Asked Questions on HCF of 5633, 4413 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 5633, 4413?
Answer: HCF of 5633, 4413 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5633, 4413 using Euclid's Algorithm?
Answer: For arbitrary numbers 5633, 4413 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.