Highest Common Factor of 6287, 8003 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 6287, 8003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6287, 8003 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 6287, 8003 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 6287, 8003 is 1.
HCF(6287, 8003) = 1
HCF of 6287, 8003 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6287, 8003 is 1.
Highest Common Factor of 6287,8003 is 1
Step 1: Since 8003 > 6287, we apply the division lemma to 8003 and 6287, to get
8003 = 6287 x 1 + 1716
Step 2: Since the reminder 6287 ≠ 0, we apply division lemma to 1716 and 6287, to get
6287 = 1716 x 3 + 1139
Step 3: We consider the new divisor 1716 and the new remainder 1139, and apply the division lemma to get
1716 = 1139 x 1 + 577
We consider the new divisor 1139 and the new remainder 577,and apply the division lemma to get
1139 = 577 x 1 + 562
We consider the new divisor 577 and the new remainder 562,and apply the division lemma to get
577 = 562 x 1 + 15
We consider the new divisor 562 and the new remainder 15,and apply the division lemma to get
562 = 15 x 37 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6287 and 8003 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(562,15) = HCF(577,562) = HCF(1139,577) = HCF(1716,1139) = HCF(6287,1716) = HCF(8003,6287) .
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Frequently Asked Questions on HCF of 6287, 8003 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 6287, 8003?
Answer: HCF of 6287, 8003 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6287, 8003 using Euclid's Algorithm?
Answer: For arbitrary numbers 6287, 8003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.