Highest Common Factor of 2843, 6294 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 2843, 6294 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2843, 6294 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 2843, 6294 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 2843, 6294 is 1.
HCF(2843, 6294) = 1
HCF of 2843, 6294 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2843, 6294 is 1.
Highest Common Factor of 2843,6294 is 1
Step 1: Since 6294 > 2843, we apply the division lemma to 6294 and 2843, to get
6294 = 2843 x 2 + 608
Step 2: Since the reminder 2843 ≠ 0, we apply division lemma to 608 and 2843, to get
2843 = 608 x 4 + 411
Step 3: We consider the new divisor 608 and the new remainder 411, and apply the division lemma to get
608 = 411 x 1 + 197
We consider the new divisor 411 and the new remainder 197,and apply the division lemma to get
411 = 197 x 2 + 17
We consider the new divisor 197 and the new remainder 17,and apply the division lemma to get
197 = 17 x 11 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 2843 and 6294 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(197,17) = HCF(411,197) = HCF(608,411) = HCF(2843,608) = HCF(6294,2843) .
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Frequently Asked Questions on HCF of 2843, 6294 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 2843, 6294?
Answer: HCF of 2843, 6294 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2843, 6294 using Euclid's Algorithm?
Answer: For arbitrary numbers 2843, 6294 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.