Highest Common Factor of 9893, 6228 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 9893, 6228 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9893, 6228 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 9893, 6228 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 9893, 6228 is 1.
HCF(9893, 6228) = 1
HCF of 9893, 6228 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9893, 6228 is 1.
Highest Common Factor of 9893,6228 is 1
Step 1: Since 9893 > 6228, we apply the division lemma to 9893 and 6228, to get
9893 = 6228 x 1 + 3665
Step 2: Since the reminder 6228 ≠ 0, we apply division lemma to 3665 and 6228, to get
6228 = 3665 x 1 + 2563
Step 3: We consider the new divisor 3665 and the new remainder 2563, and apply the division lemma to get
3665 = 2563 x 1 + 1102
We consider the new divisor 2563 and the new remainder 1102,and apply the division lemma to get
2563 = 1102 x 2 + 359
We consider the new divisor 1102 and the new remainder 359,and apply the division lemma to get
1102 = 359 x 3 + 25
We consider the new divisor 359 and the new remainder 25,and apply the division lemma to get
359 = 25 x 14 + 9
We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get
25 = 9 x 2 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 9893 and 6228 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(359,25) = HCF(1102,359) = HCF(2563,1102) = HCF(3665,2563) = HCF(6228,3665) = HCF(9893,6228) .
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Frequently Asked Questions on HCF of 9893, 6228 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 9893, 6228?
Answer: HCF of 9893, 6228 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9893, 6228 using Euclid's Algorithm?
Answer: For arbitrary numbers 9893, 6228 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.