Highest Common Factor of 347, 814, 589, 822 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 347, 814, 589, 822 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 347, 814, 589, 822 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 347, 814, 589, 822 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 347, 814, 589, 822 is 1.
HCF(347, 814, 589, 822) = 1
HCF of 347, 814, 589, 822 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 347, 814, 589, 822 is 1.
Highest Common Factor of 347,814,589,822 is 1
Step 1: Since 814 > 347, we apply the division lemma to 814 and 347, to get
814 = 347 x 2 + 120
Step 2: Since the reminder 347 ≠ 0, we apply division lemma to 120 and 347, to get
347 = 120 x 2 + 107
Step 3: We consider the new divisor 120 and the new remainder 107, and apply the division lemma to get
120 = 107 x 1 + 13
We consider the new divisor 107 and the new remainder 13,and apply the division lemma to get
107 = 13 x 8 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 347 and 814 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(107,13) = HCF(120,107) = HCF(347,120) = HCF(814,347) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 589 > 1, we apply the division lemma to 589 and 1, to get
589 = 1 x 589 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 589 is 1
Notice that 1 = HCF(589,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 822 > 1, we apply the division lemma to 822 and 1, to get
822 = 1 x 822 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 822 is 1
Notice that 1 = HCF(822,1) .
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Frequently Asked Questions on HCF of 347, 814, 589, 822 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 347, 814, 589, 822?
Answer: HCF of 347, 814, 589, 822 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 347, 814, 589, 822 using Euclid's Algorithm?
Answer: For arbitrary numbers 347, 814, 589, 822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.