Highest Common Factor of 6405, 2308 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 6405, 2308 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6405, 2308 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 6405, 2308 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 6405, 2308 is 1.
HCF(6405, 2308) = 1
HCF of 6405, 2308 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6405, 2308 is 1.
Highest Common Factor of 6405,2308 is 1
Step 1: Since 6405 > 2308, we apply the division lemma to 6405 and 2308, to get
6405 = 2308 x 2 + 1789
Step 2: Since the reminder 2308 ≠ 0, we apply division lemma to 1789 and 2308, to get
2308 = 1789 x 1 + 519
Step 3: We consider the new divisor 1789 and the new remainder 519, and apply the division lemma to get
1789 = 519 x 3 + 232
We consider the new divisor 519 and the new remainder 232,and apply the division lemma to get
519 = 232 x 2 + 55
We consider the new divisor 232 and the new remainder 55,and apply the division lemma to get
232 = 55 x 4 + 12
We consider the new divisor 55 and the new remainder 12,and apply the division lemma to get
55 = 12 x 4 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 6405 and 2308 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(55,12) = HCF(232,55) = HCF(519,232) = HCF(1789,519) = HCF(2308,1789) = HCF(6405,2308) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6405, 2308 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 6405, 2308?
Answer: HCF of 6405, 2308 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6405, 2308 using Euclid's Algorithm?
Answer: For arbitrary numbers 6405, 2308 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.