Highest Common Factor of 3231, 4663 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 3231, 4663 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3231, 4663 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 3231, 4663 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 3231, 4663 is 1.
HCF(3231, 4663) = 1
HCF of 3231, 4663 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3231, 4663 is 1.
Highest Common Factor of 3231,4663 is 1
Step 1: Since 4663 > 3231, we apply the division lemma to 4663 and 3231, to get
4663 = 3231 x 1 + 1432
Step 2: Since the reminder 3231 ≠ 0, we apply division lemma to 1432 and 3231, to get
3231 = 1432 x 2 + 367
Step 3: We consider the new divisor 1432 and the new remainder 367, and apply the division lemma to get
1432 = 367 x 3 + 331
We consider the new divisor 367 and the new remainder 331,and apply the division lemma to get
367 = 331 x 1 + 36
We consider the new divisor 331 and the new remainder 36,and apply the division lemma to get
331 = 36 x 9 + 7
We consider the new divisor 36 and the new remainder 7,and apply the division lemma to get
36 = 7 x 5 + 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 3231 and 4663 is 1
Notice that 1 = HCF(7,1) = HCF(36,7) = HCF(331,36) = HCF(367,331) = HCF(1432,367) = HCF(3231,1432) = HCF(4663,3231) .
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Frequently Asked Questions on HCF of 3231, 4663 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 3231, 4663?
Answer: HCF of 3231, 4663 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3231, 4663 using Euclid's Algorithm?
Answer: For arbitrary numbers 3231, 4663 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.