Highest Common Factor of 8287, 6032 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 8287, 6032 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8287, 6032 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 8287, 6032 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 8287, 6032 is 1.
HCF(8287, 6032) = 1
HCF of 8287, 6032 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8287, 6032 is 1.
Highest Common Factor of 8287,6032 is 1
Step 1: Since 8287 > 6032, we apply the division lemma to 8287 and 6032, to get
8287 = 6032 x 1 + 2255
Step 2: Since the reminder 6032 ≠ 0, we apply division lemma to 2255 and 6032, to get
6032 = 2255 x 2 + 1522
Step 3: We consider the new divisor 2255 and the new remainder 1522, and apply the division lemma to get
2255 = 1522 x 1 + 733
We consider the new divisor 1522 and the new remainder 733,and apply the division lemma to get
1522 = 733 x 2 + 56
We consider the new divisor 733 and the new remainder 56,and apply the division lemma to get
733 = 56 x 13 + 5
We consider the new divisor 56 and the new remainder 5,and apply the division lemma to get
56 = 5 x 11 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8287 and 6032 is 1
Notice that 1 = HCF(5,1) = HCF(56,5) = HCF(733,56) = HCF(1522,733) = HCF(2255,1522) = HCF(6032,2255) = HCF(8287,6032) .
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Frequently Asked Questions on HCF of 8287, 6032 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 8287, 6032?
Answer: HCF of 8287, 6032 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8287, 6032 using Euclid's Algorithm?
Answer: For arbitrary numbers 8287, 6032 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.