Highest Common Factor of 1518, 3993 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, 3993 i.e. 33 the largest integer that leaves a remainder zero for all numbers.
HCF of 1518, 3993 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 1518, 3993 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, 3993 is 33.
HCF(1518, 3993) = 33
HCF of 1518, 3993 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, 3993 is 33.
Highest Common Factor of 1518,3993 is 33
Step 1: Since 3993 > 1518, we apply the division lemma to 3993 and 1518, to get
3993 = 1518 x 2 + 957
Step 2: Since the reminder 1518 ≠ 0, we apply division lemma to 957 and 1518, to get
1518 = 957 x 1 + 561
Step 3: We consider the new divisor 957 and the new remainder 561, and apply the division lemma to get
957 = 561 x 1 + 396
We consider the new divisor 561 and the new remainder 396,and apply the division lemma to get
561 = 396 x 1 + 165
We consider the new divisor 396 and the new remainder 165,and apply the division lemma to get
396 = 165 x 2 + 66
We consider the new divisor 165 and the new remainder 66,and apply the division lemma to get
165 = 66 x 2 + 33
We consider the new divisor 66 and the new remainder 33,and apply the division lemma to get
66 = 33 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 1518 and 3993 is 33
Notice that 33 = HCF(66,33) = HCF(165,66) = HCF(396,165) = HCF(561,396) = HCF(957,561) = HCF(1518,957) = HCF(3993,1518) .
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Frequently Asked Questions on HCF of 1518, 3993 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, 3993?
Answer: HCF of 1518, 3993 is 33 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1518, 3993 using Euclid's Algorithm?
Answer: For arbitrary numbers 1518, 3993 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.