Highest Common Factor of 515, 822, 665 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 515, 822, 665 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 515, 822, 665 is 1 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 515, 822, 665 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 515, 822, 665 is 1.
HCF(515, 822, 665) = 1
HCF of 515, 822, 665 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 515, 822, 665 is 1.
Highest Common Factor of 515,822,665 is 1
Step 1: Since 822 > 515, we apply the division lemma to 822 and 515, to get
822 = 515 x 1 + 307
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 307 and 515, to get
515 = 307 x 1 + 208
Step 3: We consider the new divisor 307 and the new remainder 208, and apply the division lemma to get
307 = 208 x 1 + 99
We consider the new divisor 208 and the new remainder 99,and apply the division lemma to get
208 = 99 x 2 + 10
We consider the new divisor 99 and the new remainder 10,and apply the division lemma to get
99 = 10 x 9 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 515 and 822 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(99,10) = HCF(208,99) = HCF(307,208) = HCF(515,307) = HCF(822,515) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 665 > 1, we apply the division lemma to 665 and 1, to get
665 = 1 x 665 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 665 is 1
Notice that 1 = HCF(665,1) .
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Frequently Asked Questions on HCF of 515, 822, 665 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 515, 822, 665?
Answer: HCF of 515, 822, 665 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 515, 822, 665 using Euclid's Algorithm?
Answer: For arbitrary numbers 515, 822, 665 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.