Highest Common Factor of 581, 78788 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 581, 78788 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 581, 78788 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 581, 78788 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 581, 78788 is 1.
HCF(581, 78788) = 1
HCF of 581, 78788 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 581, 78788 is 1.
Highest Common Factor of 581,78788 is 1
Step 1: Since 78788 > 581, we apply the division lemma to 78788 and 581, to get
78788 = 581 x 135 + 353
Step 2: Since the reminder 581 ≠ 0, we apply division lemma to 353 and 581, to get
581 = 353 x 1 + 228
Step 3: We consider the new divisor 353 and the new remainder 228, and apply the division lemma to get
353 = 228 x 1 + 125
We consider the new divisor 228 and the new remainder 125,and apply the division lemma to get
228 = 125 x 1 + 103
We consider the new divisor 125 and the new remainder 103,and apply the division lemma to get
125 = 103 x 1 + 22
We consider the new divisor 103 and the new remainder 22,and apply the division lemma to get
103 = 22 x 4 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 581 and 78788 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(103,22) = HCF(125,103) = HCF(228,125) = HCF(353,228) = HCF(581,353) = HCF(78788,581) .
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Frequently Asked Questions on HCF of 581, 78788 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 581, 78788?
Answer: HCF of 581, 78788 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 581, 78788 using Euclid's Algorithm?
Answer: For arbitrary numbers 581, 78788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
