Highest Common Factor of 2849, 8306 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 2849, 8306 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2849, 8306 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 2849, 8306 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 2849, 8306 is 1.
HCF(2849, 8306) = 1
HCF of 2849, 8306 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2849, 8306 is 1.
Highest Common Factor of 2849,8306 is 1
Step 1: Since 8306 > 2849, we apply the division lemma to 8306 and 2849, to get
8306 = 2849 x 2 + 2608
Step 2: Since the reminder 2849 ≠ 0, we apply division lemma to 2608 and 2849, to get
2849 = 2608 x 1 + 241
Step 3: We consider the new divisor 2608 and the new remainder 241, and apply the division lemma to get
2608 = 241 x 10 + 198
We consider the new divisor 241 and the new remainder 198,and apply the division lemma to get
241 = 198 x 1 + 43
We consider the new divisor 198 and the new remainder 43,and apply the division lemma to get
198 = 43 x 4 + 26
We consider the new divisor 43 and the new remainder 26,and apply the division lemma to get
43 = 26 x 1 + 17
We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get
26 = 17 x 1 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 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 2849 and 8306 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(43,26) = HCF(198,43) = HCF(241,198) = HCF(2608,241) = HCF(2849,2608) = HCF(8306,2849) .
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Frequently Asked Questions on HCF of 2849, 8306 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 2849, 8306?
Answer: HCF of 2849, 8306 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2849, 8306 using Euclid's Algorithm?
Answer: For arbitrary numbers 2849, 8306 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.