Highest Common Factor of 8683, 7273 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 8683, 7273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8683, 7273 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 8683, 7273 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 8683, 7273 is 1.
HCF(8683, 7273) = 1
HCF of 8683, 7273 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8683, 7273 is 1.
Highest Common Factor of 8683,7273 is 1
Step 1: Since 8683 > 7273, we apply the division lemma to 8683 and 7273, to get
8683 = 7273 x 1 + 1410
Step 2: Since the reminder 7273 ≠ 0, we apply division lemma to 1410 and 7273, to get
7273 = 1410 x 5 + 223
Step 3: We consider the new divisor 1410 and the new remainder 223, and apply the division lemma to get
1410 = 223 x 6 + 72
We consider the new divisor 223 and the new remainder 72,and apply the division lemma to get
223 = 72 x 3 + 7
We consider the new divisor 72 and the new remainder 7,and apply the division lemma to get
72 = 7 x 10 + 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 8683 and 7273 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(72,7) = HCF(223,72) = HCF(1410,223) = HCF(7273,1410) = HCF(8683,7273) .
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Frequently Asked Questions on HCF of 8683, 7273 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 8683, 7273?
Answer: HCF of 8683, 7273 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8683, 7273 using Euclid's Algorithm?
Answer: For arbitrary numbers 8683, 7273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.