Highest Common Factor of 4701, 3311 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 4701, 3311 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4701, 3311 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 4701, 3311 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 4701, 3311 is 1.
HCF(4701, 3311) = 1
HCF of 4701, 3311 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4701, 3311 is 1.
Highest Common Factor of 4701,3311 is 1
Step 1: Since 4701 > 3311, we apply the division lemma to 4701 and 3311, to get
4701 = 3311 x 1 + 1390
Step 2: Since the reminder 3311 ≠ 0, we apply division lemma to 1390 and 3311, to get
3311 = 1390 x 2 + 531
Step 3: We consider the new divisor 1390 and the new remainder 531, and apply the division lemma to get
1390 = 531 x 2 + 328
We consider the new divisor 531 and the new remainder 328,and apply the division lemma to get
531 = 328 x 1 + 203
We consider the new divisor 328 and the new remainder 203,and apply the division lemma to get
328 = 203 x 1 + 125
We consider the new divisor 203 and the new remainder 125,and apply the division lemma to get
203 = 125 x 1 + 78
We consider the new divisor 125 and the new remainder 78,and apply the division lemma to get
125 = 78 x 1 + 47
We consider the new divisor 78 and the new remainder 47,and apply the division lemma to get
78 = 47 x 1 + 31
We consider the new divisor 47 and the new remainder 31,and apply the division lemma to get
47 = 31 x 1 + 16
We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get
31 = 16 x 1 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4701 and 3311 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(47,31) = HCF(78,47) = HCF(125,78) = HCF(203,125) = HCF(328,203) = HCF(531,328) = HCF(1390,531) = HCF(3311,1390) = HCF(4701,3311) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4701, 3311 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 4701, 3311?
Answer: HCF of 4701, 3311 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4701, 3311 using Euclid's Algorithm?
Answer: For arbitrary numbers 4701, 3311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.