Highest Common Factor of 6789, 9217 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 6789, 9217 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6789, 9217 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 6789, 9217 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 6789, 9217 is 1.
HCF(6789, 9217) = 1
HCF of 6789, 9217 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6789, 9217 is 1.
Highest Common Factor of 6789,9217 is 1
Step 1: Since 9217 > 6789, we apply the division lemma to 9217 and 6789, to get
9217 = 6789 x 1 + 2428
Step 2: Since the reminder 6789 ≠ 0, we apply division lemma to 2428 and 6789, to get
6789 = 2428 x 2 + 1933
Step 3: We consider the new divisor 2428 and the new remainder 1933, and apply the division lemma to get
2428 = 1933 x 1 + 495
We consider the new divisor 1933 and the new remainder 495,and apply the division lemma to get
1933 = 495 x 3 + 448
We consider the new divisor 495 and the new remainder 448,and apply the division lemma to get
495 = 448 x 1 + 47
We consider the new divisor 448 and the new remainder 47,and apply the division lemma to get
448 = 47 x 9 + 25
We consider the new divisor 47 and the new remainder 25,and apply the division lemma to get
47 = 25 x 1 + 22
We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get
25 = 22 x 1 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 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 6789 and 9217 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(47,25) = HCF(448,47) = HCF(495,448) = HCF(1933,495) = HCF(2428,1933) = HCF(6789,2428) = HCF(9217,6789) .
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Frequently Asked Questions on HCF of 6789, 9217 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 6789, 9217?
Answer: HCF of 6789, 9217 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6789, 9217 using Euclid's Algorithm?
Answer: For arbitrary numbers 6789, 9217 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.