Highest Common Factor of 999, 615 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 999, 615 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 999, 615 is 3 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 999, 615 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 999, 615 is 3.
HCF(999, 615) = 3
HCF of 999, 615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 999, 615 is 3.
Highest Common Factor of 999,615 is 3
Step 1: Since 999 > 615, we apply the division lemma to 999 and 615, to get
999 = 615 x 1 + 384
Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 384 and 615, to get
615 = 384 x 1 + 231
Step 3: We consider the new divisor 384 and the new remainder 231, and apply the division lemma to get
384 = 231 x 1 + 153
We consider the new divisor 231 and the new remainder 153,and apply the division lemma to get
231 = 153 x 1 + 78
We consider the new divisor 153 and the new remainder 78,and apply the division lemma to get
153 = 78 x 1 + 75
We consider the new divisor 78 and the new remainder 75,and apply the division lemma to get
78 = 75 x 1 + 3
We consider the new divisor 75 and the new remainder 3,and apply the division lemma to get
75 = 3 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 999 and 615 is 3
Notice that 3 = HCF(75,3) = HCF(78,75) = HCF(153,78) = HCF(231,153) = HCF(384,231) = HCF(615,384) = HCF(999,615) .
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Frequently Asked Questions on HCF of 999, 615 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 999, 615?
Answer: HCF of 999, 615 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 999, 615 using Euclid's Algorithm?
Answer: For arbitrary numbers 999, 615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
