Highest Common Factor of 3647, 4299 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 3647, 4299 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3647, 4299 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 3647, 4299 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 3647, 4299 is 1.
HCF(3647, 4299) = 1
HCF of 3647, 4299 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3647, 4299 is 1.
Highest Common Factor of 3647,4299 is 1
Step 1: Since 4299 > 3647, we apply the division lemma to 4299 and 3647, to get
4299 = 3647 x 1 + 652
Step 2: Since the reminder 3647 ≠ 0, we apply division lemma to 652 and 3647, to get
3647 = 652 x 5 + 387
Step 3: We consider the new divisor 652 and the new remainder 387, and apply the division lemma to get
652 = 387 x 1 + 265
We consider the new divisor 387 and the new remainder 265,and apply the division lemma to get
387 = 265 x 1 + 122
We consider the new divisor 265 and the new remainder 122,and apply the division lemma to get
265 = 122 x 2 + 21
We consider the new divisor 122 and the new remainder 21,and apply the division lemma to get
122 = 21 x 5 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3647 and 4299 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(122,21) = HCF(265,122) = HCF(387,265) = HCF(652,387) = HCF(3647,652) = HCF(4299,3647) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3647, 4299 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 3647, 4299?
Answer: HCF of 3647, 4299 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3647, 4299 using Euclid's Algorithm?
Answer: For arbitrary numbers 3647, 4299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.