Highest Common Factor of 4663, 4414 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 4663, 4414 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4663, 4414 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 4663, 4414 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 4663, 4414 is 1.
HCF(4663, 4414) = 1
HCF of 4663, 4414 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4663, 4414 is 1.
Highest Common Factor of 4663,4414 is 1
Step 1: Since 4663 > 4414, we apply the division lemma to 4663 and 4414, to get
4663 = 4414 x 1 + 249
Step 2: Since the reminder 4414 ≠ 0, we apply division lemma to 249 and 4414, to get
4414 = 249 x 17 + 181
Step 3: We consider the new divisor 249 and the new remainder 181, and apply the division lemma to get
249 = 181 x 1 + 68
We consider the new divisor 181 and the new remainder 68,and apply the division lemma to get
181 = 68 x 2 + 45
We consider the new divisor 68 and the new remainder 45,and apply the division lemma to get
68 = 45 x 1 + 23
We consider the new divisor 45 and the new remainder 23,and apply the division lemma to get
45 = 23 x 1 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4663 and 4414 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(45,23) = HCF(68,45) = HCF(181,68) = HCF(249,181) = HCF(4414,249) = HCF(4663,4414) .
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Frequently Asked Questions on HCF of 4663, 4414 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 4663, 4414?
Answer: HCF of 4663, 4414 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4663, 4414 using Euclid's Algorithm?
Answer: For arbitrary numbers 4663, 4414 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
