Highest Common Factor of 821, 283, 771 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 821, 283, 771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 821, 283, 771 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 821, 283, 771 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 821, 283, 771 is 1.
HCF(821, 283, 771) = 1
HCF of 821, 283, 771 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 821, 283, 771 is 1.
Highest Common Factor of 821,283,771 is 1
Step 1: Since 821 > 283, we apply the division lemma to 821 and 283, to get
821 = 283 x 2 + 255
Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 255 and 283, to get
283 = 255 x 1 + 28
Step 3: We consider the new divisor 255 and the new remainder 28, and apply the division lemma to get
255 = 28 x 9 + 3
We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get
28 = 3 x 9 + 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 821 and 283 is 1
Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(255,28) = HCF(283,255) = HCF(821,283) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 771 > 1, we apply the division lemma to 771 and 1, to get
771 = 1 x 771 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 771 is 1
Notice that 1 = HCF(771,1) .
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Frequently Asked Questions on HCF of 821, 283, 771 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 821, 283, 771?
Answer: HCF of 821, 283, 771 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 821, 283, 771 using Euclid's Algorithm?
Answer: For arbitrary numbers 821, 283, 771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.