Highest Common Factor of 5832, 4142 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 5832, 4142 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5832, 4142 is 2 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 5832, 4142 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 5832, 4142 is 2.
HCF(5832, 4142) = 2
HCF of 5832, 4142 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5832, 4142 is 2.
Highest Common Factor of 5832,4142 is 2
Step 1: Since 5832 > 4142, we apply the division lemma to 5832 and 4142, to get
5832 = 4142 x 1 + 1690
Step 2: Since the reminder 4142 ≠ 0, we apply division lemma to 1690 and 4142, to get
4142 = 1690 x 2 + 762
Step 3: We consider the new divisor 1690 and the new remainder 762, and apply the division lemma to get
1690 = 762 x 2 + 166
We consider the new divisor 762 and the new remainder 166,and apply the division lemma to get
762 = 166 x 4 + 98
We consider the new divisor 166 and the new remainder 98,and apply the division lemma to get
166 = 98 x 1 + 68
We consider the new divisor 98 and the new remainder 68,and apply the division lemma to get
98 = 68 x 1 + 30
We consider the new divisor 68 and the new remainder 30,and apply the division lemma to get
68 = 30 x 2 + 8
We consider the new divisor 30 and the new remainder 8,and apply the division lemma to get
30 = 8 x 3 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5832 and 4142 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(30,8) = HCF(68,30) = HCF(98,68) = HCF(166,98) = HCF(762,166) = HCF(1690,762) = HCF(4142,1690) = HCF(5832,4142) .
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Frequently Asked Questions on HCF of 5832, 4142 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 5832, 4142?
Answer: HCF of 5832, 4142 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5832, 4142 using Euclid's Algorithm?
Answer: For arbitrary numbers 5832, 4142 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.