Highest Common Factor of 3849, 8858 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 3849, 8858 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3849, 8858 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 3849, 8858 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 3849, 8858 is 1.
HCF(3849, 8858) = 1
HCF of 3849, 8858 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3849, 8858 is 1.
Highest Common Factor of 3849,8858 is 1
Step 1: Since 8858 > 3849, we apply the division lemma to 8858 and 3849, to get
8858 = 3849 x 2 + 1160
Step 2: Since the reminder 3849 ≠ 0, we apply division lemma to 1160 and 3849, to get
3849 = 1160 x 3 + 369
Step 3: We consider the new divisor 1160 and the new remainder 369, and apply the division lemma to get
1160 = 369 x 3 + 53
We consider the new divisor 369 and the new remainder 53,and apply the division lemma to get
369 = 53 x 6 + 51
We consider the new divisor 53 and the new remainder 51,and apply the division lemma to get
53 = 51 x 1 + 2
We consider the new divisor 51 and the new remainder 2,and apply the division lemma to get
51 = 2 x 25 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3849 and 8858 is 1
Notice that 1 = HCF(2,1) = HCF(51,2) = HCF(53,51) = HCF(369,53) = HCF(1160,369) = HCF(3849,1160) = HCF(8858,3849) .
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Frequently Asked Questions on HCF of 3849, 8858 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 3849, 8858?
Answer: HCF of 3849, 8858 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3849, 8858 using Euclid's Algorithm?
Answer: For arbitrary numbers 3849, 8858 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.