Highest Common Factor of 6223, 8273 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 6223, 8273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6223, 8273 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 6223, 8273 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 6223, 8273 is 1.
HCF(6223, 8273) = 1
HCF of 6223, 8273 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6223, 8273 is 1.
Highest Common Factor of 6223,8273 is 1
Step 1: Since 8273 > 6223, we apply the division lemma to 8273 and 6223, to get
8273 = 6223 x 1 + 2050
Step 2: Since the reminder 6223 ≠ 0, we apply division lemma to 2050 and 6223, to get
6223 = 2050 x 3 + 73
Step 3: We consider the new divisor 2050 and the new remainder 73, and apply the division lemma to get
2050 = 73 x 28 + 6
We consider the new divisor 73 and the new remainder 6,and apply the division lemma to get
73 = 6 x 12 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6223 and 8273 is 1
Notice that 1 = HCF(6,1) = HCF(73,6) = HCF(2050,73) = HCF(6223,2050) = HCF(8273,6223) .
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Frequently Asked Questions on HCF of 6223, 8273 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 6223, 8273?
Answer: HCF of 6223, 8273 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6223, 8273 using Euclid's Algorithm?
Answer: For arbitrary numbers 6223, 8273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.