Highest Common Factor of 5207, 8640 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 5207, 8640 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5207, 8640 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 5207, 8640 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 5207, 8640 is 1.
HCF(5207, 8640) = 1
HCF of 5207, 8640 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5207, 8640 is 1.
Highest Common Factor of 5207,8640 is 1
Step 1: Since 8640 > 5207, we apply the division lemma to 8640 and 5207, to get
8640 = 5207 x 1 + 3433
Step 2: Since the reminder 5207 ≠ 0, we apply division lemma to 3433 and 5207, to get
5207 = 3433 x 1 + 1774
Step 3: We consider the new divisor 3433 and the new remainder 1774, and apply the division lemma to get
3433 = 1774 x 1 + 1659
We consider the new divisor 1774 and the new remainder 1659,and apply the division lemma to get
1774 = 1659 x 1 + 115
We consider the new divisor 1659 and the new remainder 115,and apply the division lemma to get
1659 = 115 x 14 + 49
We consider the new divisor 115 and the new remainder 49,and apply the division lemma to get
115 = 49 x 2 + 17
We consider the new divisor 49 and the new remainder 17,and apply the division lemma to get
49 = 17 x 2 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 5207 and 8640 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(49,17) = HCF(115,49) = HCF(1659,115) = HCF(1774,1659) = HCF(3433,1774) = HCF(5207,3433) = HCF(8640,5207) .
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Frequently Asked Questions on HCF of 5207, 8640 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 5207, 8640?
Answer: HCF of 5207, 8640 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5207, 8640 using Euclid's Algorithm?
Answer: For arbitrary numbers 5207, 8640 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.