Highest Common Factor of 818, 321, 155, 984 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 818, 321, 155, 984 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 818, 321, 155, 984 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 818, 321, 155, 984 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 818, 321, 155, 984 is 1.
HCF(818, 321, 155, 984) = 1
HCF of 818, 321, 155, 984 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 818, 321, 155, 984 is 1.
Highest Common Factor of 818,321,155,984 is 1
Step 1: Since 818 > 321, we apply the division lemma to 818 and 321, to get
818 = 321 x 2 + 176
Step 2: Since the reminder 321 ≠ 0, we apply division lemma to 176 and 321, to get
321 = 176 x 1 + 145
Step 3: We consider the new divisor 176 and the new remainder 145, and apply the division lemma to get
176 = 145 x 1 + 31
We consider the new divisor 145 and the new remainder 31,and apply the division lemma to get
145 = 31 x 4 + 21
We consider the new divisor 31 and the new remainder 21,and apply the division lemma to get
31 = 21 x 1 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 818 and 321 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(31,21) = HCF(145,31) = HCF(176,145) = HCF(321,176) = HCF(818,321) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 155 > 1, we apply the division lemma to 155 and 1, to get
155 = 1 x 155 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 155 is 1
Notice that 1 = HCF(155,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 984 > 1, we apply the division lemma to 984 and 1, to get
984 = 1 x 984 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 984 is 1
Notice that 1 = HCF(984,1) .
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Frequently Asked Questions on HCF of 818, 321, 155, 984 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 818, 321, 155, 984?
Answer: HCF of 818, 321, 155, 984 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 818, 321, 155, 984 using Euclid's Algorithm?
Answer: For arbitrary numbers 818, 321, 155, 984 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.