Highest Common Factor of 2180, 1223 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 2180, 1223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2180, 1223 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 2180, 1223 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 2180, 1223 is 1.
HCF(2180, 1223) = 1
HCF of 2180, 1223 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2180, 1223 is 1.
Highest Common Factor of 2180,1223 is 1
Step 1: Since 2180 > 1223, we apply the division lemma to 2180 and 1223, to get
2180 = 1223 x 1 + 957
Step 2: Since the reminder 1223 ≠ 0, we apply division lemma to 957 and 1223, to get
1223 = 957 x 1 + 266
Step 3: We consider the new divisor 957 and the new remainder 266, and apply the division lemma to get
957 = 266 x 3 + 159
We consider the new divisor 266 and the new remainder 159,and apply the division lemma to get
266 = 159 x 1 + 107
We consider the new divisor 159 and the new remainder 107,and apply the division lemma to get
159 = 107 x 1 + 52
We consider the new divisor 107 and the new remainder 52,and apply the division lemma to get
107 = 52 x 2 + 3
We consider the new divisor 52 and the new remainder 3,and apply the division lemma to get
52 = 3 x 17 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2180 and 1223 is 1
Notice that 1 = HCF(3,1) = HCF(52,3) = HCF(107,52) = HCF(159,107) = HCF(266,159) = HCF(957,266) = HCF(1223,957) = HCF(2180,1223) .
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Frequently Asked Questions on HCF of 2180, 1223 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 2180, 1223?
Answer: HCF of 2180, 1223 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2180, 1223 using Euclid's Algorithm?
Answer: For arbitrary numbers 2180, 1223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.