Highest Common Factor of 6821, 9397 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 6821, 9397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6821, 9397 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 6821, 9397 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 6821, 9397 is 1.
HCF(6821, 9397) = 1
HCF of 6821, 9397 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6821, 9397 is 1.
Highest Common Factor of 6821,9397 is 1
Step 1: Since 9397 > 6821, we apply the division lemma to 9397 and 6821, to get
9397 = 6821 x 1 + 2576
Step 2: Since the reminder 6821 ≠ 0, we apply division lemma to 2576 and 6821, to get
6821 = 2576 x 2 + 1669
Step 3: We consider the new divisor 2576 and the new remainder 1669, and apply the division lemma to get
2576 = 1669 x 1 + 907
We consider the new divisor 1669 and the new remainder 907,and apply the division lemma to get
1669 = 907 x 1 + 762
We consider the new divisor 907 and the new remainder 762,and apply the division lemma to get
907 = 762 x 1 + 145
We consider the new divisor 762 and the new remainder 145,and apply the division lemma to get
762 = 145 x 5 + 37
We consider the new divisor 145 and the new remainder 37,and apply the division lemma to get
145 = 37 x 3 + 34
We consider the new divisor 37 and the new remainder 34,and apply the division lemma to get
37 = 34 x 1 + 3
We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get
34 = 3 x 11 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6821 and 9397 is 1
Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(37,34) = HCF(145,37) = HCF(762,145) = HCF(907,762) = HCF(1669,907) = HCF(2576,1669) = HCF(6821,2576) = HCF(9397,6821) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6821, 9397 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 6821, 9397?
Answer: HCF of 6821, 9397 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6821, 9397 using Euclid's Algorithm?
Answer: For arbitrary numbers 6821, 9397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
