Highest Common Factor of 3663, 4982 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 3663, 4982 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3663, 4982 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 3663, 4982 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 3663, 4982 is 1.
HCF(3663, 4982) = 1
HCF of 3663, 4982 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3663, 4982 is 1.
Highest Common Factor of 3663,4982 is 1
Step 1: Since 4982 > 3663, we apply the division lemma to 4982 and 3663, to get
4982 = 3663 x 1 + 1319
Step 2: Since the reminder 3663 ≠ 0, we apply division lemma to 1319 and 3663, to get
3663 = 1319 x 2 + 1025
Step 3: We consider the new divisor 1319 and the new remainder 1025, and apply the division lemma to get
1319 = 1025 x 1 + 294
We consider the new divisor 1025 and the new remainder 294,and apply the division lemma to get
1025 = 294 x 3 + 143
We consider the new divisor 294 and the new remainder 143,and apply the division lemma to get
294 = 143 x 2 + 8
We consider the new divisor 143 and the new remainder 8,and apply the division lemma to get
143 = 8 x 17 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 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 3663 and 4982 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(143,8) = HCF(294,143) = HCF(1025,294) = HCF(1319,1025) = HCF(3663,1319) = HCF(4982,3663) .
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Frequently Asked Questions on HCF of 3663, 4982 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 3663, 4982?
Answer: HCF of 3663, 4982 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3663, 4982 using Euclid's Algorithm?
Answer: For arbitrary numbers 3663, 4982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.