Highest Common Factor of 1216, 2617 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 1216, 2617 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1216, 2617 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 1216, 2617 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 1216, 2617 is 1.
HCF(1216, 2617) = 1
HCF of 1216, 2617 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1216, 2617 is 1.
Highest Common Factor of 1216,2617 is 1
Step 1: Since 2617 > 1216, we apply the division lemma to 2617 and 1216, to get
2617 = 1216 x 2 + 185
Step 2: Since the reminder 1216 ≠ 0, we apply division lemma to 185 and 1216, to get
1216 = 185 x 6 + 106
Step 3: We consider the new divisor 185 and the new remainder 106, and apply the division lemma to get
185 = 106 x 1 + 79
We consider the new divisor 106 and the new remainder 79,and apply the division lemma to get
106 = 79 x 1 + 27
We consider the new divisor 79 and the new remainder 27,and apply the division lemma to get
79 = 27 x 2 + 25
We consider the new divisor 27 and the new remainder 25,and apply the division lemma to get
27 = 25 x 1 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1216 and 2617 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(27,25) = HCF(79,27) = HCF(106,79) = HCF(185,106) = HCF(1216,185) = HCF(2617,1216) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1216, 2617 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 1216, 2617?
Answer: HCF of 1216, 2617 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1216, 2617 using Euclid's Algorithm?
Answer: For arbitrary numbers 1216, 2617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.