Highest Common Factor of 3311, 4858 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 3311, 4858 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 3311, 4858 is 7 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 3311, 4858 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 3311, 4858 is 7.
HCF(3311, 4858) = 7
HCF of 3311, 4858 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3311, 4858 is 7.
Highest Common Factor of 3311,4858 is 7
Step 1: Since 4858 > 3311, we apply the division lemma to 4858 and 3311, to get
4858 = 3311 x 1 + 1547
Step 2: Since the reminder 3311 ≠ 0, we apply division lemma to 1547 and 3311, to get
3311 = 1547 x 2 + 217
Step 3: We consider the new divisor 1547 and the new remainder 217, and apply the division lemma to get
1547 = 217 x 7 + 28
We consider the new divisor 217 and the new remainder 28,and apply the division lemma to get
217 = 28 x 7 + 21
We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3311 and 4858 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(217,28) = HCF(1547,217) = HCF(3311,1547) = HCF(4858,3311) .
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Frequently Asked Questions on HCF of 3311, 4858 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 3311, 4858?
Answer: HCF of 3311, 4858 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3311, 4858 using Euclid's Algorithm?
Answer: For arbitrary numbers 3311, 4858 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.