Highest Common Factor of 7453, 2266 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 7453, 2266 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7453, 2266 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 7453, 2266 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 7453, 2266 is 1.
HCF(7453, 2266) = 1
HCF of 7453, 2266 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7453, 2266 is 1.
Highest Common Factor of 7453,2266 is 1
Step 1: Since 7453 > 2266, we apply the division lemma to 7453 and 2266, to get
7453 = 2266 x 3 + 655
Step 2: Since the reminder 2266 ≠ 0, we apply division lemma to 655 and 2266, to get
2266 = 655 x 3 + 301
Step 3: We consider the new divisor 655 and the new remainder 301, and apply the division lemma to get
655 = 301 x 2 + 53
We consider the new divisor 301 and the new remainder 53,and apply the division lemma to get
301 = 53 x 5 + 36
We consider the new divisor 53 and the new remainder 36,and apply the division lemma to get
53 = 36 x 1 + 17
We consider the new divisor 36 and the new remainder 17,and apply the division lemma to get
36 = 17 x 2 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7453 and 2266 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(36,17) = HCF(53,36) = HCF(301,53) = HCF(655,301) = HCF(2266,655) = HCF(7453,2266) .
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Frequently Asked Questions on HCF of 7453, 2266 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 7453, 2266?
Answer: HCF of 7453, 2266 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7453, 2266 using Euclid's Algorithm?
Answer: For arbitrary numbers 7453, 2266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.