Highest Common Factor of 1151, 3816, 14606 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 1151, 3816, 14606 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1151, 3816, 14606 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 1151, 3816, 14606 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 1151, 3816, 14606 is 1.
HCF(1151, 3816, 14606) = 1
HCF of 1151, 3816, 14606 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1151, 3816, 14606 is 1.
Highest Common Factor of 1151,3816,14606 is 1
Step 1: Since 3816 > 1151, we apply the division lemma to 3816 and 1151, to get
3816 = 1151 x 3 + 363
Step 2: Since the reminder 1151 ≠ 0, we apply division lemma to 363 and 1151, to get
1151 = 363 x 3 + 62
Step 3: We consider the new divisor 363 and the new remainder 62, and apply the division lemma to get
363 = 62 x 5 + 53
We consider the new divisor 62 and the new remainder 53,and apply the division lemma to get
62 = 53 x 1 + 9
We consider the new divisor 53 and the new remainder 9,and apply the division lemma to get
53 = 9 x 5 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1151 and 3816 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(53,9) = HCF(62,53) = HCF(363,62) = HCF(1151,363) = HCF(3816,1151) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 14606 > 1, we apply the division lemma to 14606 and 1, to get
14606 = 1 x 14606 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14606 is 1
Notice that 1 = HCF(14606,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1151, 3816, 14606 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 1151, 3816, 14606?
Answer: HCF of 1151, 3816, 14606 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1151, 3816, 14606 using Euclid's Algorithm?
Answer: For arbitrary numbers 1151, 3816, 14606 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.