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 6369, 1106 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6369, 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 6369, 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 6369, 1106 is 1.
HCF(6369, 1106) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6369, 1106 is 1.
Step 1: Since 6369 > 1106, we apply the division lemma to 6369 and 1106, to get
6369 = 1106 x 5 + 839
Step 2: Since the reminder 1106 ≠ 0, we apply division lemma to 839 and 1106, to get
1106 = 839 x 1 + 267
Step 3: We consider the new divisor 839 and the new remainder 267, and apply the division lemma to get
839 = 267 x 3 + 38
We consider the new divisor 267 and the new remainder 38,and apply the division lemma to get
267 = 38 x 7 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6369 and 1106 is 1
Notice that 1 = HCF(38,1) = HCF(267,38) = HCF(839,267) = HCF(1106,839) = HCF(6369,1106) .
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 6369, 1106?
Answer: HCF of 6369, 1106 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6369, 1106 using Euclid's Algorithm?
Answer: For arbitrary numbers 6369, 1106 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.