Highest Common Factor of 1580, 8367, 82865 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 1580, 8367, 82865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1580, 8367, 82865 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 1580, 8367, 82865 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 1580, 8367, 82865 is 1.
HCF(1580, 8367, 82865) = 1
HCF of 1580, 8367, 82865 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1580, 8367, 82865 is 1.
Highest Common Factor of 1580,8367,82865 is 1
Step 1: Since 8367 > 1580, we apply the division lemma to 8367 and 1580, to get
8367 = 1580 x 5 + 467
Step 2: Since the reminder 1580 ≠ 0, we apply division lemma to 467 and 1580, to get
1580 = 467 x 3 + 179
Step 3: We consider the new divisor 467 and the new remainder 179, and apply the division lemma to get
467 = 179 x 2 + 109
We consider the new divisor 179 and the new remainder 109,and apply the division lemma to get
179 = 109 x 1 + 70
We consider the new divisor 109 and the new remainder 70,and apply the division lemma to get
109 = 70 x 1 + 39
We consider the new divisor 70 and the new remainder 39,and apply the division lemma to get
70 = 39 x 1 + 31
We consider the new divisor 39 and the new remainder 31,and apply the division lemma to get
39 = 31 x 1 + 8
We consider the new divisor 31 and the new remainder 8,and apply the division lemma to get
31 = 8 x 3 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 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 1580 and 8367 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(31,8) = HCF(39,31) = HCF(70,39) = HCF(109,70) = HCF(179,109) = HCF(467,179) = HCF(1580,467) = HCF(8367,1580) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 82865 > 1, we apply the division lemma to 82865 and 1, to get
82865 = 1 x 82865 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 82865 is 1
Notice that 1 = HCF(82865,1) .
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Frequently Asked Questions on HCF of 1580, 8367, 82865 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 1580, 8367, 82865?
Answer: HCF of 1580, 8367, 82865 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1580, 8367, 82865 using Euclid's Algorithm?
Answer: For arbitrary numbers 1580, 8367, 82865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.