Highest Common Factor of 6503, 8569 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 6503, 8569 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6503, 8569 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 6503, 8569 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 6503, 8569 is 1.
HCF(6503, 8569) = 1
HCF of 6503, 8569 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6503, 8569 is 1.
Highest Common Factor of 6503,8569 is 1
Step 1: Since 8569 > 6503, we apply the division lemma to 8569 and 6503, to get
8569 = 6503 x 1 + 2066
Step 2: Since the reminder 6503 ≠ 0, we apply division lemma to 2066 and 6503, to get
6503 = 2066 x 3 + 305
Step 3: We consider the new divisor 2066 and the new remainder 305, and apply the division lemma to get
2066 = 305 x 6 + 236
We consider the new divisor 305 and the new remainder 236,and apply the division lemma to get
305 = 236 x 1 + 69
We consider the new divisor 236 and the new remainder 69,and apply the division lemma to get
236 = 69 x 3 + 29
We consider the new divisor 69 and the new remainder 29,and apply the division lemma to get
69 = 29 x 2 + 11
We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get
29 = 11 x 2 + 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 6503 and 8569 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(69,29) = HCF(236,69) = HCF(305,236) = HCF(2066,305) = HCF(6503,2066) = HCF(8569,6503) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6503, 8569 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 6503, 8569?
Answer: HCF of 6503, 8569 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6503, 8569 using Euclid's Algorithm?
Answer: For arbitrary numbers 6503, 8569 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.