Highest Common Factor of 2212, 1545 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 2212, 1545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2212, 1545 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 2212, 1545 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 2212, 1545 is 1.
HCF(2212, 1545) = 1
HCF of 2212, 1545 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2212, 1545 is 1.
Highest Common Factor of 2212,1545 is 1
Step 1: Since 2212 > 1545, we apply the division lemma to 2212 and 1545, to get
2212 = 1545 x 1 + 667
Step 2: Since the reminder 1545 ≠ 0, we apply division lemma to 667 and 1545, to get
1545 = 667 x 2 + 211
Step 3: We consider the new divisor 667 and the new remainder 211, and apply the division lemma to get
667 = 211 x 3 + 34
We consider the new divisor 211 and the new remainder 34,and apply the division lemma to get
211 = 34 x 6 + 7
We consider the new divisor 34 and the new remainder 7,and apply the division lemma to get
34 = 7 x 4 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2212 and 1545 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(34,7) = HCF(211,34) = HCF(667,211) = HCF(1545,667) = HCF(2212,1545) .
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Frequently Asked Questions on HCF of 2212, 1545 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 2212, 1545?
Answer: HCF of 2212, 1545 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2212, 1545 using Euclid's Algorithm?
Answer: For arbitrary numbers 2212, 1545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.