Highest Common Factor of 819, 455 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 819, 455 i.e. 91 the largest integer that leaves a remainder zero for all numbers.
HCF of 819, 455 is 91 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 819, 455 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 819, 455 is 91.
HCF(819, 455) = 91
HCF of 819, 455 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 819, 455 is 91.
Highest Common Factor of 819,455 is 91
Step 1: Since 819 > 455, we apply the division lemma to 819 and 455, to get
819 = 455 x 1 + 364
Step 2: Since the reminder 455 ≠ 0, we apply division lemma to 364 and 455, to get
455 = 364 x 1 + 91
Step 3: We consider the new divisor 364 and the new remainder 91, and apply the division lemma to get
364 = 91 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 91, the HCF of 819 and 455 is 91
Notice that 91 = HCF(364,91) = HCF(455,364) = HCF(819,455) .
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Frequently Asked Questions on HCF of 819, 455 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 819, 455?
Answer: HCF of 819, 455 is 91 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 819, 455 using Euclid's Algorithm?
Answer: For arbitrary numbers 819, 455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.