Highest Common Factor of 381, 493, 823 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 381, 493, 823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 381, 493, 823 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 381, 493, 823 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 381, 493, 823 is 1.
HCF(381, 493, 823) = 1
HCF of 381, 493, 823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 381, 493, 823 is 1.
Highest Common Factor of 381,493,823 is 1
Step 1: Since 493 > 381, we apply the division lemma to 493 and 381, to get
493 = 381 x 1 + 112
Step 2: Since the reminder 381 ≠ 0, we apply division lemma to 112 and 381, to get
381 = 112 x 3 + 45
Step 3: We consider the new divisor 112 and the new remainder 45, and apply the division lemma to get
112 = 45 x 2 + 22
We consider the new divisor 45 and the new remainder 22,and apply the division lemma to get
45 = 22 x 2 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 381 and 493 is 1
Notice that 1 = HCF(22,1) = HCF(45,22) = HCF(112,45) = HCF(381,112) = HCF(493,381) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 823 > 1, we apply the division lemma to 823 and 1, to get
823 = 1 x 823 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 823 is 1
Notice that 1 = HCF(823,1) .
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Frequently Asked Questions on HCF of 381, 493, 823 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 381, 493, 823?
Answer: HCF of 381, 493, 823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 381, 493, 823 using Euclid's Algorithm?
Answer: For arbitrary numbers 381, 493, 823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.