Highest Common Factor of 395, 8513 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 395, 8513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 395, 8513 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 395, 8513 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 395, 8513 is 1.
HCF(395, 8513) = 1
HCF of 395, 8513 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 395, 8513 is 1.
Highest Common Factor of 395,8513 is 1
Step 1: Since 8513 > 395, we apply the division lemma to 8513 and 395, to get
8513 = 395 x 21 + 218
Step 2: Since the reminder 395 ≠ 0, we apply division lemma to 218 and 395, to get
395 = 218 x 1 + 177
Step 3: We consider the new divisor 218 and the new remainder 177, and apply the division lemma to get
218 = 177 x 1 + 41
We consider the new divisor 177 and the new remainder 41,and apply the division lemma to get
177 = 41 x 4 + 13
We consider the new divisor 41 and the new remainder 13,and apply the division lemma to get
41 = 13 x 3 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 395 and 8513 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(41,13) = HCF(177,41) = HCF(218,177) = HCF(395,218) = HCF(8513,395) .
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Frequently Asked Questions on HCF of 395, 8513 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 395, 8513?
Answer: HCF of 395, 8513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 395, 8513 using Euclid's Algorithm?
Answer: For arbitrary numbers 395, 8513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.