Highest Common Factor of 718, 6227 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 718, 6227 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 718, 6227 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 718, 6227 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 718, 6227 is 1.
HCF(718, 6227) = 1
HCF of 718, 6227 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 718, 6227 is 1.
Highest Common Factor of 718,6227 is 1
Step 1: Since 6227 > 718, we apply the division lemma to 6227 and 718, to get
6227 = 718 x 8 + 483
Step 2: Since the reminder 718 ≠ 0, we apply division lemma to 483 and 718, to get
718 = 483 x 1 + 235
Step 3: We consider the new divisor 483 and the new remainder 235, and apply the division lemma to get
483 = 235 x 2 + 13
We consider the new divisor 235 and the new remainder 13,and apply the division lemma to get
235 = 13 x 18 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 718 and 6227 is 1
Notice that 1 = HCF(13,1) = HCF(235,13) = HCF(483,235) = HCF(718,483) = HCF(6227,718) .
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Frequently Asked Questions on HCF of 718, 6227 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 718, 6227?
Answer: HCF of 718, 6227 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 718, 6227 using Euclid's Algorithm?
Answer: For arbitrary numbers 718, 6227 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.