Highest Common Factor of 620, 8465 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 620, 8465 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 620, 8465 is 5 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 620, 8465 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 620, 8465 is 5.
HCF(620, 8465) = 5
HCF of 620, 8465 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 620, 8465 is 5.
Highest Common Factor of 620,8465 is 5
Step 1: Since 8465 > 620, we apply the division lemma to 8465 and 620, to get
8465 = 620 x 13 + 405
Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 405 and 620, to get
620 = 405 x 1 + 215
Step 3: We consider the new divisor 405 and the new remainder 215, and apply the division lemma to get
405 = 215 x 1 + 190
We consider the new divisor 215 and the new remainder 190,and apply the division lemma to get
215 = 190 x 1 + 25
We consider the new divisor 190 and the new remainder 25,and apply the division lemma to get
190 = 25 x 7 + 15
We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get
25 = 15 x 1 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 620 and 8465 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(190,25) = HCF(215,190) = HCF(405,215) = HCF(620,405) = HCF(8465,620) .
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Frequently Asked Questions on HCF of 620, 8465 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 620, 8465?
Answer: HCF of 620, 8465 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 620, 8465 using Euclid's Algorithm?
Answer: For arbitrary numbers 620, 8465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.