Highest Common Factor of 793, 2843 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 793, 2843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 793, 2843 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 793, 2843 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 793, 2843 is 1.
HCF(793, 2843) = 1
HCF of 793, 2843 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 793, 2843 is 1.
Highest Common Factor of 793,2843 is 1
Step 1: Since 2843 > 793, we apply the division lemma to 2843 and 793, to get
2843 = 793 x 3 + 464
Step 2: Since the reminder 793 ≠ 0, we apply division lemma to 464 and 793, to get
793 = 464 x 1 + 329
Step 3: We consider the new divisor 464 and the new remainder 329, and apply the division lemma to get
464 = 329 x 1 + 135
We consider the new divisor 329 and the new remainder 135,and apply the division lemma to get
329 = 135 x 2 + 59
We consider the new divisor 135 and the new remainder 59,and apply the division lemma to get
135 = 59 x 2 + 17
We consider the new divisor 59 and the new remainder 17,and apply the division lemma to get
59 = 17 x 3 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 793 and 2843 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(59,17) = HCF(135,59) = HCF(329,135) = HCF(464,329) = HCF(793,464) = HCF(2843,793) .
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Frequently Asked Questions on HCF of 793, 2843 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 793, 2843?
Answer: HCF of 793, 2843 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 793, 2843 using Euclid's Algorithm?
Answer: For arbitrary numbers 793, 2843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.