Highest Common Factor of 4002, 9315 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 4002, 9315 i.e. 69 the largest integer that leaves a remainder zero for all numbers.
HCF of 4002, 9315 is 69 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 4002, 9315 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 4002, 9315 is 69.
HCF(4002, 9315) = 69
HCF of 4002, 9315 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4002, 9315 is 69.
Highest Common Factor of 4002,9315 is 69
Step 1: Since 9315 > 4002, we apply the division lemma to 9315 and 4002, to get
9315 = 4002 x 2 + 1311
Step 2: Since the reminder 4002 ≠ 0, we apply division lemma to 1311 and 4002, to get
4002 = 1311 x 3 + 69
Step 3: We consider the new divisor 1311 and the new remainder 69, and apply the division lemma to get
1311 = 69 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 69, the HCF of 4002 and 9315 is 69
Notice that 69 = HCF(1311,69) = HCF(4002,1311) = HCF(9315,4002) .
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Frequently Asked Questions on HCF of 4002, 9315 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 4002, 9315?
Answer: HCF of 4002, 9315 is 69 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4002, 9315 using Euclid's Algorithm?
Answer: For arbitrary numbers 4002, 9315 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.