Highest Common Factor of 8373, 6229 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 8373, 6229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8373, 6229 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 8373, 6229 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 8373, 6229 is 1.
HCF(8373, 6229) = 1
HCF of 8373, 6229 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8373, 6229 is 1.
Highest Common Factor of 8373,6229 is 1
Step 1: Since 8373 > 6229, we apply the division lemma to 8373 and 6229, to get
8373 = 6229 x 1 + 2144
Step 2: Since the reminder 6229 ≠ 0, we apply division lemma to 2144 and 6229, to get
6229 = 2144 x 2 + 1941
Step 3: We consider the new divisor 2144 and the new remainder 1941, and apply the division lemma to get
2144 = 1941 x 1 + 203
We consider the new divisor 1941 and the new remainder 203,and apply the division lemma to get
1941 = 203 x 9 + 114
We consider the new divisor 203 and the new remainder 114,and apply the division lemma to get
203 = 114 x 1 + 89
We consider the new divisor 114 and the new remainder 89,and apply the division lemma to get
114 = 89 x 1 + 25
We consider the new divisor 89 and the new remainder 25,and apply the division lemma to get
89 = 25 x 3 + 14
We consider the new divisor 25 and the new remainder 14,and apply the division lemma to get
25 = 14 x 1 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8373 and 6229 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(25,14) = HCF(89,25) = HCF(114,89) = HCF(203,114) = HCF(1941,203) = HCF(2144,1941) = HCF(6229,2144) = HCF(8373,6229) .
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Frequently Asked Questions on HCF of 8373, 6229 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 8373, 6229?
Answer: HCF of 8373, 6229 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8373, 6229 using Euclid's Algorithm?
Answer: For arbitrary numbers 8373, 6229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.