Highest Common Factor of 7201, 9693 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 7201, 9693 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7201, 9693 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 7201, 9693 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 7201, 9693 is 1.
HCF(7201, 9693) = 1
HCF of 7201, 9693 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7201, 9693 is 1.
Highest Common Factor of 7201,9693 is 1
Step 1: Since 9693 > 7201, we apply the division lemma to 9693 and 7201, to get
9693 = 7201 x 1 + 2492
Step 2: Since the reminder 7201 ≠ 0, we apply division lemma to 2492 and 7201, to get
7201 = 2492 x 2 + 2217
Step 3: We consider the new divisor 2492 and the new remainder 2217, and apply the division lemma to get
2492 = 2217 x 1 + 275
We consider the new divisor 2217 and the new remainder 275,and apply the division lemma to get
2217 = 275 x 8 + 17
We consider the new divisor 275 and the new remainder 17,and apply the division lemma to get
275 = 17 x 16 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7201 and 9693 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(275,17) = HCF(2217,275) = HCF(2492,2217) = HCF(7201,2492) = HCF(9693,7201) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7201, 9693 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 7201, 9693?
Answer: HCF of 7201, 9693 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7201, 9693 using Euclid's Algorithm?
Answer: For arbitrary numbers 7201, 9693 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.