Highest Common Factor of 1632, 4311 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 1632, 4311 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1632, 4311 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 1632, 4311 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 1632, 4311 is 3.
HCF(1632, 4311) = 3
HCF of 1632, 4311 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1632, 4311 is 3.
Highest Common Factor of 1632,4311 is 3
Step 1: Since 4311 > 1632, we apply the division lemma to 4311 and 1632, to get
4311 = 1632 x 2 + 1047
Step 2: Since the reminder 1632 ≠ 0, we apply division lemma to 1047 and 1632, to get
1632 = 1047 x 1 + 585
Step 3: We consider the new divisor 1047 and the new remainder 585, and apply the division lemma to get
1047 = 585 x 1 + 462
We consider the new divisor 585 and the new remainder 462,and apply the division lemma to get
585 = 462 x 1 + 123
We consider the new divisor 462 and the new remainder 123,and apply the division lemma to get
462 = 123 x 3 + 93
We consider the new divisor 123 and the new remainder 93,and apply the division lemma to get
123 = 93 x 1 + 30
We consider the new divisor 93 and the new remainder 30,and apply the division lemma to get
93 = 30 x 3 + 3
We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get
30 = 3 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1632 and 4311 is 3
Notice that 3 = HCF(30,3) = HCF(93,30) = HCF(123,93) = HCF(462,123) = HCF(585,462) = HCF(1047,585) = HCF(1632,1047) = HCF(4311,1632) .
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Frequently Asked Questions on HCF of 1632, 4311 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 1632, 4311?
Answer: HCF of 1632, 4311 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1632, 4311 using Euclid's Algorithm?
Answer: For arbitrary numbers 1632, 4311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
