Highest Common Factor of 2183, 9714, 22326 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 2183, 9714, 22326 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2183, 9714, 22326 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 2183, 9714, 22326 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 2183, 9714, 22326 is 1.
HCF(2183, 9714, 22326) = 1
HCF of 2183, 9714, 22326 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2183, 9714, 22326 is 1.
Highest Common Factor of 2183,9714,22326 is 1
Step 1: Since 9714 > 2183, we apply the division lemma to 9714 and 2183, to get
9714 = 2183 x 4 + 982
Step 2: Since the reminder 2183 ≠ 0, we apply division lemma to 982 and 2183, to get
2183 = 982 x 2 + 219
Step 3: We consider the new divisor 982 and the new remainder 219, and apply the division lemma to get
982 = 219 x 4 + 106
We consider the new divisor 219 and the new remainder 106,and apply the division lemma to get
219 = 106 x 2 + 7
We consider the new divisor 106 and the new remainder 7,and apply the division lemma to get
106 = 7 x 15 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2183 and 9714 is 1
Notice that 1 = HCF(7,1) = HCF(106,7) = HCF(219,106) = HCF(982,219) = HCF(2183,982) = HCF(9714,2183) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 22326 > 1, we apply the division lemma to 22326 and 1, to get
22326 = 1 x 22326 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22326 is 1
Notice that 1 = HCF(22326,1) .
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Frequently Asked Questions on HCF of 2183, 9714, 22326 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 2183, 9714, 22326?
Answer: HCF of 2183, 9714, 22326 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2183, 9714, 22326 using Euclid's Algorithm?
Answer: For arbitrary numbers 2183, 9714, 22326 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.