Highest Common Factor of 3635, 5547 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 3635, 5547 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3635, 5547 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 3635, 5547 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 3635, 5547 is 1.
HCF(3635, 5547) = 1
HCF of 3635, 5547 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3635, 5547 is 1.
Highest Common Factor of 3635,5547 is 1
Step 1: Since 5547 > 3635, we apply the division lemma to 5547 and 3635, to get
5547 = 3635 x 1 + 1912
Step 2: Since the reminder 3635 ≠ 0, we apply division lemma to 1912 and 3635, to get
3635 = 1912 x 1 + 1723
Step 3: We consider the new divisor 1912 and the new remainder 1723, and apply the division lemma to get
1912 = 1723 x 1 + 189
We consider the new divisor 1723 and the new remainder 189,and apply the division lemma to get
1723 = 189 x 9 + 22
We consider the new divisor 189 and the new remainder 22,and apply the division lemma to get
189 = 22 x 8 + 13
We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get
22 = 13 x 1 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 3635 and 5547 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(189,22) = HCF(1723,189) = HCF(1912,1723) = HCF(3635,1912) = HCF(5547,3635) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3635, 5547 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 3635, 5547?
Answer: HCF of 3635, 5547 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3635, 5547 using Euclid's Algorithm?
Answer: For arbitrary numbers 3635, 5547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
