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 9537, 3601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9537, 3601 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 9537, 3601 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 9537, 3601 is 1.
HCF(9537, 3601) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9537, 3601 is 1.
Step 1: Since 9537 > 3601, we apply the division lemma to 9537 and 3601, to get
9537 = 3601 x 2 + 2335
Step 2: Since the reminder 3601 ≠ 0, we apply division lemma to 2335 and 3601, to get
3601 = 2335 x 1 + 1266
Step 3: We consider the new divisor 2335 and the new remainder 1266, and apply the division lemma to get
2335 = 1266 x 1 + 1069
We consider the new divisor 1266 and the new remainder 1069,and apply the division lemma to get
1266 = 1069 x 1 + 197
We consider the new divisor 1069 and the new remainder 197,and apply the division lemma to get
1069 = 197 x 5 + 84
We consider the new divisor 197 and the new remainder 84,and apply the division lemma to get
197 = 84 x 2 + 29
We consider the new divisor 84 and the new remainder 29,and apply the division lemma to get
84 = 29 x 2 + 26
We consider the new divisor 29 and the new remainder 26,and apply the division lemma to get
29 = 26 x 1 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 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 9537 and 3601 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(29,26) = HCF(84,29) = HCF(197,84) = HCF(1069,197) = HCF(1266,1069) = HCF(2335,1266) = HCF(3601,2335) = HCF(9537,3601) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 9537, 3601?
Answer: HCF of 9537, 3601 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9537, 3601 using Euclid's Algorithm?
Answer: For arbitrary numbers 9537, 3601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.