Highest Common Factor of 395, 8578 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, 8578 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 395, 8578 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, 8578 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, 8578 is 1.
HCF(395, 8578) = 1
HCF of 395, 8578 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, 8578 is 1.
Highest Common Factor of 395,8578 is 1
Step 1: Since 8578 > 395, we apply the division lemma to 8578 and 395, to get
8578 = 395 x 21 + 283
Step 2: Since the reminder 395 ≠ 0, we apply division lemma to 283 and 395, to get
395 = 283 x 1 + 112
Step 3: We consider the new divisor 283 and the new remainder 112, and apply the division lemma to get
283 = 112 x 2 + 59
We consider the new divisor 112 and the new remainder 59,and apply the division lemma to get
112 = 59 x 1 + 53
We consider the new divisor 59 and the new remainder 53,and apply the division lemma to get
59 = 53 x 1 + 6
We consider the new divisor 53 and the new remainder 6,and apply the division lemma to get
53 = 6 x 8 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 395 and 8578 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(53,6) = HCF(59,53) = HCF(112,59) = HCF(283,112) = HCF(395,283) = HCF(8578,395) .
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Frequently Asked Questions on HCF of 395, 8578 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, 8578?
Answer: HCF of 395, 8578 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 395, 8578 using Euclid's Algorithm?
Answer: For arbitrary numbers 395, 8578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.