Highest Common Factor of 7366, 493 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 7366, 493 i.e. 29 the largest integer that leaves a remainder zero for all numbers.
HCF of 7366, 493 is 29 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 7366, 493 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 7366, 493 is 29.
HCF(7366, 493) = 29
HCF of 7366, 493 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7366, 493 is 29.
Highest Common Factor of 7366,493 is 29
Step 1: Since 7366 > 493, we apply the division lemma to 7366 and 493, to get
7366 = 493 x 14 + 464
Step 2: Since the reminder 493 ≠ 0, we apply division lemma to 464 and 493, to get
493 = 464 x 1 + 29
Step 3: We consider the new divisor 464 and the new remainder 29, and apply the division lemma to get
464 = 29 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 7366 and 493 is 29
Notice that 29 = HCF(464,29) = HCF(493,464) = HCF(7366,493) .
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Frequently Asked Questions on HCF of 7366, 493 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 7366, 493?
Answer: HCF of 7366, 493 is 29 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7366, 493 using Euclid's Algorithm?
Answer: For arbitrary numbers 7366, 493 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
