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 2166, 2917 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2166, 2917 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 2166, 2917 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 2166, 2917 is 1.
HCF(2166, 2917) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2166, 2917 is 1.
Step 1: Since 2917 > 2166, we apply the division lemma to 2917 and 2166, to get
2917 = 2166 x 1 + 751
Step 2: Since the reminder 2166 ≠ 0, we apply division lemma to 751 and 2166, to get
2166 = 751 x 2 + 664
Step 3: We consider the new divisor 751 and the new remainder 664, and apply the division lemma to get
751 = 664 x 1 + 87
We consider the new divisor 664 and the new remainder 87,and apply the division lemma to get
664 = 87 x 7 + 55
We consider the new divisor 87 and the new remainder 55,and apply the division lemma to get
87 = 55 x 1 + 32
We consider the new divisor 55 and the new remainder 32,and apply the division lemma to get
55 = 32 x 1 + 23
We consider the new divisor 32 and the new remainder 23,and apply the division lemma to get
32 = 23 x 1 + 9
We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get
23 = 9 x 2 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2166 and 2917 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(32,23) = HCF(55,32) = HCF(87,55) = HCF(664,87) = HCF(751,664) = HCF(2166,751) = HCF(2917,2166) .
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 2166, 2917?
Answer: HCF of 2166, 2917 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2166, 2917 using Euclid's Algorithm?
Answer: For arbitrary numbers 2166, 2917 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.