Highest Common Factor of 6701, 9333 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 6701, 9333 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6701, 9333 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 6701, 9333 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 6701, 9333 is 1.
HCF(6701, 9333) = 1
HCF of 6701, 9333 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6701, 9333 is 1.
Highest Common Factor of 6701,9333 is 1
Step 1: Since 9333 > 6701, we apply the division lemma to 9333 and 6701, to get
9333 = 6701 x 1 + 2632
Step 2: Since the reminder 6701 ≠ 0, we apply division lemma to 2632 and 6701, to get
6701 = 2632 x 2 + 1437
Step 3: We consider the new divisor 2632 and the new remainder 1437, and apply the division lemma to get
2632 = 1437 x 1 + 1195
We consider the new divisor 1437 and the new remainder 1195,and apply the division lemma to get
1437 = 1195 x 1 + 242
We consider the new divisor 1195 and the new remainder 242,and apply the division lemma to get
1195 = 242 x 4 + 227
We consider the new divisor 242 and the new remainder 227,and apply the division lemma to get
242 = 227 x 1 + 15
We consider the new divisor 227 and the new remainder 15,and apply the division lemma to get
227 = 15 x 15 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 6701 and 9333 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(227,15) = HCF(242,227) = HCF(1195,242) = HCF(1437,1195) = HCF(2632,1437) = HCF(6701,2632) = HCF(9333,6701) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6701, 9333 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 6701, 9333?
Answer: HCF of 6701, 9333 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6701, 9333 using Euclid's Algorithm?
Answer: For arbitrary numbers 6701, 9333 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.