Highest Common Factor of 5506, 9303 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 5506, 9303 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5506, 9303 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 5506, 9303 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 5506, 9303 is 1.
HCF(5506, 9303) = 1
HCF of 5506, 9303 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5506, 9303 is 1.
Highest Common Factor of 5506,9303 is 1
Step 1: Since 9303 > 5506, we apply the division lemma to 9303 and 5506, to get
9303 = 5506 x 1 + 3797
Step 2: Since the reminder 5506 ≠ 0, we apply division lemma to 3797 and 5506, to get
5506 = 3797 x 1 + 1709
Step 3: We consider the new divisor 3797 and the new remainder 1709, and apply the division lemma to get
3797 = 1709 x 2 + 379
We consider the new divisor 1709 and the new remainder 379,and apply the division lemma to get
1709 = 379 x 4 + 193
We consider the new divisor 379 and the new remainder 193,and apply the division lemma to get
379 = 193 x 1 + 186
We consider the new divisor 193 and the new remainder 186,and apply the division lemma to get
193 = 186 x 1 + 7
We consider the new divisor 186 and the new remainder 7,and apply the division lemma to get
186 = 7 x 26 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5506 and 9303 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(186,7) = HCF(193,186) = HCF(379,193) = HCF(1709,379) = HCF(3797,1709) = HCF(5506,3797) = HCF(9303,5506) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5506, 9303 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 5506, 9303?
Answer: HCF of 5506, 9303 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5506, 9303 using Euclid's Algorithm?
Answer: For arbitrary numbers 5506, 9303 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.