Highest Common Factor of 8866, 7321 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 8866, 7321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8866, 7321 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 8866, 7321 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 8866, 7321 is 1.
HCF(8866, 7321) = 1
HCF of 8866, 7321 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8866, 7321 is 1.
Highest Common Factor of 8866,7321 is 1
Step 1: Since 8866 > 7321, we apply the division lemma to 8866 and 7321, to get
8866 = 7321 x 1 + 1545
Step 2: Since the reminder 7321 ≠ 0, we apply division lemma to 1545 and 7321, to get
7321 = 1545 x 4 + 1141
Step 3: We consider the new divisor 1545 and the new remainder 1141, and apply the division lemma to get
1545 = 1141 x 1 + 404
We consider the new divisor 1141 and the new remainder 404,and apply the division lemma to get
1141 = 404 x 2 + 333
We consider the new divisor 404 and the new remainder 333,and apply the division lemma to get
404 = 333 x 1 + 71
We consider the new divisor 333 and the new remainder 71,and apply the division lemma to get
333 = 71 x 4 + 49
We consider the new divisor 71 and the new remainder 49,and apply the division lemma to get
71 = 49 x 1 + 22
We consider the new divisor 49 and the new remainder 22,and apply the division lemma to get
49 = 22 x 2 + 5
We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get
22 = 5 x 4 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 8866 and 7321 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(49,22) = HCF(71,49) = HCF(333,71) = HCF(404,333) = HCF(1141,404) = HCF(1545,1141) = HCF(7321,1545) = HCF(8866,7321) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8866, 7321 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 8866, 7321?
Answer: HCF of 8866, 7321 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8866, 7321 using Euclid's Algorithm?
Answer: For arbitrary numbers 8866, 7321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
