Highest Common Factor of 9537, 6435 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 9537, 6435 i.e. 33 the largest integer that leaves a remainder zero for all numbers.
HCF of 9537, 6435 is 33 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, 6435 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, 6435 is 33.
HCF(9537, 6435) = 33
HCF of 9537, 6435 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9537, 6435 is 33.
Highest Common Factor of 9537,6435 is 33
Step 1: Since 9537 > 6435, we apply the division lemma to 9537 and 6435, to get
9537 = 6435 x 1 + 3102
Step 2: Since the reminder 6435 ≠ 0, we apply division lemma to 3102 and 6435, to get
6435 = 3102 x 2 + 231
Step 3: We consider the new divisor 3102 and the new remainder 231, and apply the division lemma to get
3102 = 231 x 13 + 99
We consider the new divisor 231 and the new remainder 99,and apply the division lemma to get
231 = 99 x 2 + 33
We consider the new divisor 99 and the new remainder 33,and apply the division lemma to get
99 = 33 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 9537 and 6435 is 33
Notice that 33 = HCF(99,33) = HCF(231,99) = HCF(3102,231) = HCF(6435,3102) = HCF(9537,6435) .
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Frequently Asked Questions on HCF of 9537, 6435 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 9537, 6435?
Answer: HCF of 9537, 6435 is 33 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9537, 6435 using Euclid's Algorithm?
Answer: For arbitrary numbers 9537, 6435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.