Highest Common Factor of 1855, 6682 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 1855, 6682 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1855, 6682 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 1855, 6682 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 1855, 6682 is 1.
HCF(1855, 6682) = 1
HCF of 1855, 6682 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1855, 6682 is 1.
Highest Common Factor of 1855,6682 is 1
Step 1: Since 6682 > 1855, we apply the division lemma to 6682 and 1855, to get
6682 = 1855 x 3 + 1117
Step 2: Since the reminder 1855 ≠ 0, we apply division lemma to 1117 and 1855, to get
1855 = 1117 x 1 + 738
Step 3: We consider the new divisor 1117 and the new remainder 738, and apply the division lemma to get
1117 = 738 x 1 + 379
We consider the new divisor 738 and the new remainder 379,and apply the division lemma to get
738 = 379 x 1 + 359
We consider the new divisor 379 and the new remainder 359,and apply the division lemma to get
379 = 359 x 1 + 20
We consider the new divisor 359 and the new remainder 20,and apply the division lemma to get
359 = 20 x 17 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1855 and 6682 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(359,20) = HCF(379,359) = HCF(738,379) = HCF(1117,738) = HCF(1855,1117) = HCF(6682,1855) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1855, 6682 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 1855, 6682?
Answer: HCF of 1855, 6682 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1855, 6682 using Euclid's Algorithm?
Answer: For arbitrary numbers 1855, 6682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.