Highest Common Factor of 1106, 3897 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 1106, 3897 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1106, 3897 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 1106, 3897 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 1106, 3897 is 1.
HCF(1106, 3897) = 1
HCF of 1106, 3897 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1106, 3897 is 1.
Highest Common Factor of 1106,3897 is 1
Step 1: Since 3897 > 1106, we apply the division lemma to 3897 and 1106, to get
3897 = 1106 x 3 + 579
Step 2: Since the reminder 1106 ≠ 0, we apply division lemma to 579 and 1106, to get
1106 = 579 x 1 + 527
Step 3: We consider the new divisor 579 and the new remainder 527, and apply the division lemma to get
579 = 527 x 1 + 52
We consider the new divisor 527 and the new remainder 52,and apply the division lemma to get
527 = 52 x 10 + 7
We consider the new divisor 52 and the new remainder 7,and apply the division lemma to get
52 = 7 x 7 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 1106 and 3897 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(52,7) = HCF(527,52) = HCF(579,527) = HCF(1106,579) = HCF(3897,1106) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1106, 3897 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 1106, 3897?
Answer: HCF of 1106, 3897 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1106, 3897 using Euclid's Algorithm?
Answer: For arbitrary numbers 1106, 3897 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.