Highest Common Factor of 2206, 7206 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 2206, 7206 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2206, 7206 is 2 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 2206, 7206 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 2206, 7206 is 2.
HCF(2206, 7206) = 2
HCF of 2206, 7206 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2206, 7206 is 2.
Highest Common Factor of 2206,7206 is 2
Step 1: Since 7206 > 2206, we apply the division lemma to 7206 and 2206, to get
7206 = 2206 x 3 + 588
Step 2: Since the reminder 2206 ≠ 0, we apply division lemma to 588 and 2206, to get
2206 = 588 x 3 + 442
Step 3: We consider the new divisor 588 and the new remainder 442, and apply the division lemma to get
588 = 442 x 1 + 146
We consider the new divisor 442 and the new remainder 146,and apply the division lemma to get
442 = 146 x 3 + 4
We consider the new divisor 146 and the new remainder 4,and apply the division lemma to get
146 = 4 x 36 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2206 and 7206 is 2
Notice that 2 = HCF(4,2) = HCF(146,4) = HCF(442,146) = HCF(588,442) = HCF(2206,588) = HCF(7206,2206) .
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Frequently Asked Questions on HCF of 2206, 7206 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 2206, 7206?
Answer: HCF of 2206, 7206 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2206, 7206 using Euclid's Algorithm?
Answer: For arbitrary numbers 2206, 7206 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.