Highest Common Factor of 1518, 9692 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 1518, 9692 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1518, 9692 is 2 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 1518, 9692 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 1518, 9692 is 2.
HCF(1518, 9692) = 2
HCF of 1518, 9692 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1518, 9692 is 2.
Highest Common Factor of 1518,9692 is 2
Step 1: Since 9692 > 1518, we apply the division lemma to 9692 and 1518, to get
9692 = 1518 x 6 + 584
Step 2: Since the reminder 1518 ≠ 0, we apply division lemma to 584 and 1518, to get
1518 = 584 x 2 + 350
Step 3: We consider the new divisor 584 and the new remainder 350, and apply the division lemma to get
584 = 350 x 1 + 234
We consider the new divisor 350 and the new remainder 234,and apply the division lemma to get
350 = 234 x 1 + 116
We consider the new divisor 234 and the new remainder 116,and apply the division lemma to get
234 = 116 x 2 + 2
We consider the new divisor 116 and the new remainder 2,and apply the division lemma to get
116 = 2 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1518 and 9692 is 2
Notice that 2 = HCF(116,2) = HCF(234,116) = HCF(350,234) = HCF(584,350) = HCF(1518,584) = HCF(9692,1518) .
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Frequently Asked Questions on HCF of 1518, 9692 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 1518, 9692?
Answer: HCF of 1518, 9692 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1518, 9692 using Euclid's Algorithm?
Answer: For arbitrary numbers 1518, 9692 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.