Highest Common Factor of 8462, 6559 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 8462, 6559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8462, 6559 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 8462, 6559 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 8462, 6559 is 1.
HCF(8462, 6559) = 1
HCF of 8462, 6559 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8462, 6559 is 1.
Highest Common Factor of 8462,6559 is 1
Step 1: Since 8462 > 6559, we apply the division lemma to 8462 and 6559, to get
8462 = 6559 x 1 + 1903
Step 2: Since the reminder 6559 ≠ 0, we apply division lemma to 1903 and 6559, to get
6559 = 1903 x 3 + 850
Step 3: We consider the new divisor 1903 and the new remainder 850, and apply the division lemma to get
1903 = 850 x 2 + 203
We consider the new divisor 850 and the new remainder 203,and apply the division lemma to get
850 = 203 x 4 + 38
We consider the new divisor 203 and the new remainder 38,and apply the division lemma to get
203 = 38 x 5 + 13
We consider the new divisor 38 and the new remainder 13,and apply the division lemma to get
38 = 13 x 2 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8462 and 6559 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(38,13) = HCF(203,38) = HCF(850,203) = HCF(1903,850) = HCF(6559,1903) = HCF(8462,6559) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8462, 6559 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 8462, 6559?
Answer: HCF of 8462, 6559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8462, 6559 using Euclid's Algorithm?
Answer: For arbitrary numbers 8462, 6559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.