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 397, 1106 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 397, 1106 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 397, 1106 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 397, 1106 is 1.
HCF(397, 1106) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 397, 1106 is 1.
Step 1: Since 1106 > 397, we apply the division lemma to 1106 and 397, to get
1106 = 397 x 2 + 312
Step 2: Since the reminder 397 ≠ 0, we apply division lemma to 312 and 397, to get
397 = 312 x 1 + 85
Step 3: We consider the new divisor 312 and the new remainder 85, and apply the division lemma to get
312 = 85 x 3 + 57
We consider the new divisor 85 and the new remainder 57,and apply the division lemma to get
85 = 57 x 1 + 28
We consider the new divisor 57 and the new remainder 28,and apply the division lemma to get
57 = 28 x 2 + 1
We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 397 and 1106 is 1
Notice that 1 = HCF(28,1) = HCF(57,28) = HCF(85,57) = HCF(312,85) = HCF(397,312) = HCF(1106,397) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 397, 1106?
Answer: HCF of 397, 1106 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 397, 1106 using Euclid's Algorithm?
Answer: For arbitrary numbers 397, 1106 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.