Highest Common Factor of 6287, 3520 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, 3520 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6287, 3520 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, 3520 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, 3520 is 1.
HCF(6287, 3520) = 1
HCF of 6287, 3520 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, 3520 is 1.
Highest Common Factor of 6287,3520 is 1
Step 1: Since 6287 > 3520, we apply the division lemma to 6287 and 3520, to get
6287 = 3520 x 1 + 2767
Step 2: Since the reminder 3520 ≠ 0, we apply division lemma to 2767 and 3520, to get
3520 = 2767 x 1 + 753
Step 3: We consider the new divisor 2767 and the new remainder 753, and apply the division lemma to get
2767 = 753 x 3 + 508
We consider the new divisor 753 and the new remainder 508,and apply the division lemma to get
753 = 508 x 1 + 245
We consider the new divisor 508 and the new remainder 245,and apply the division lemma to get
508 = 245 x 2 + 18
We consider the new divisor 245 and the new remainder 18,and apply the division lemma to get
245 = 18 x 13 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6287 and 3520 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(245,18) = HCF(508,245) = HCF(753,508) = HCF(2767,753) = HCF(3520,2767) = HCF(6287,3520) .
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Frequently Asked Questions on HCF of 6287, 3520 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, 3520?
Answer: HCF of 6287, 3520 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6287, 3520 using Euclid's Algorithm?
Answer: For arbitrary numbers 6287, 3520 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.