Highest Common Factor of 808, 513 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 808, 513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 808, 513 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 808, 513 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 808, 513 is 1.
HCF(808, 513) = 1
HCF of 808, 513 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 808, 513 is 1.
Highest Common Factor of 808,513 is 1
Step 1: Since 808 > 513, we apply the division lemma to 808 and 513, to get
808 = 513 x 1 + 295
Step 2: Since the reminder 513 ≠ 0, we apply division lemma to 295 and 513, to get
513 = 295 x 1 + 218
Step 3: We consider the new divisor 295 and the new remainder 218, and apply the division lemma to get
295 = 218 x 1 + 77
We consider the new divisor 218 and the new remainder 77,and apply the division lemma to get
218 = 77 x 2 + 64
We consider the new divisor 77 and the new remainder 64,and apply the division lemma to get
77 = 64 x 1 + 13
We consider the new divisor 64 and the new remainder 13,and apply the division lemma to get
64 = 13 x 4 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 808 and 513 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(64,13) = HCF(77,64) = HCF(218,77) = HCF(295,218) = HCF(513,295) = HCF(808,513) .
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Frequently Asked Questions on HCF of 808, 513 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 808, 513?
Answer: HCF of 808, 513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 808, 513 using Euclid's Algorithm?
Answer: For arbitrary numbers 808, 513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.