Highest Common Factor of 3227, 8018 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 3227, 8018 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3227, 8018 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 3227, 8018 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 3227, 8018 is 1.
HCF(3227, 8018) = 1
HCF of 3227, 8018 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3227, 8018 is 1.
Highest Common Factor of 3227,8018 is 1
Step 1: Since 8018 > 3227, we apply the division lemma to 8018 and 3227, to get
8018 = 3227 x 2 + 1564
Step 2: Since the reminder 3227 ≠ 0, we apply division lemma to 1564 and 3227, to get
3227 = 1564 x 2 + 99
Step 3: We consider the new divisor 1564 and the new remainder 99, and apply the division lemma to get
1564 = 99 x 15 + 79
We consider the new divisor 99 and the new remainder 79,and apply the division lemma to get
99 = 79 x 1 + 20
We consider the new divisor 79 and the new remainder 20,and apply the division lemma to get
79 = 20 x 3 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3227 and 8018 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(79,20) = HCF(99,79) = HCF(1564,99) = HCF(3227,1564) = HCF(8018,3227) .
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Frequently Asked Questions on HCF of 3227, 8018 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 3227, 8018?
Answer: HCF of 3227, 8018 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3227, 8018 using Euclid's Algorithm?
Answer: For arbitrary numbers 3227, 8018 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.