Highest Common Factor of 814, 758, 30, 543 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 814, 758, 30, 543 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 814, 758, 30, 543 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 814, 758, 30, 543 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 814, 758, 30, 543 is 1.
HCF(814, 758, 30, 543) = 1
HCF of 814, 758, 30, 543 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 814, 758, 30, 543 is 1.
Highest Common Factor of 814,758,30,543 is 1
Step 1: Since 814 > 758, we apply the division lemma to 814 and 758, to get
814 = 758 x 1 + 56
Step 2: Since the reminder 758 ≠ 0, we apply division lemma to 56 and 758, to get
758 = 56 x 13 + 30
Step 3: We consider the new divisor 56 and the new remainder 30, and apply the division lemma to get
56 = 30 x 1 + 26
We consider the new divisor 30 and the new remainder 26,and apply the division lemma to get
30 = 26 x 1 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 814 and 758 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(30,26) = HCF(56,30) = HCF(758,56) = HCF(814,758) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 30 > 2, we apply the division lemma to 30 and 2, to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 30 is 2
Notice that 2 = HCF(30,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 543 > 2, we apply the division lemma to 543 and 2, to get
543 = 2 x 271 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 543 is 1
Notice that 1 = HCF(2,1) = HCF(543,2) .
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Frequently Asked Questions on HCF of 814, 758, 30, 543 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 814, 758, 30, 543?
Answer: HCF of 814, 758, 30, 543 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 814, 758, 30, 543 using Euclid's Algorithm?
Answer: For arbitrary numbers 814, 758, 30, 543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.